Math / Algebra

Questiona. Rewrite the given equation $7 x+9 y-63=0$ slope-intercept form. b. Give the slope and $y$ -intercept. c. Use the slope and $y$ -intercept to graph the linear function.

Studdy Solution

STEP 1

1. The equation given is a linear equation in two variables.
2. The slope-intercept form of a linear equation is $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.
3. To graph the linear function, we need the slope and y-intercept.

STEP 2

1. Rewrite the equation in slope-intercept form.
2. Identify the slope and y-intercept from the equation.
3. Use the slope and y-intercept to graph the linear function.

STEP 3

Start with the given equation:
$7x + 9y - 63 = 0$
Isolate $y$ to rewrite the equation in slope-intercept form. First, move $7x$ and $-63$ to the other side:
$9y = -7x + 63$

STEP 4

Divide every term by 9 to solve for $y$ :
$y = -\frac{7}{9}x + 7$
This is the slope-intercept form of the equation.

STEP 5

Identify the slope ( $m$ ) and y-intercept ( $b$ ) from the equation $y = -\frac{7}{9}x + 7$ :
Slope ( $m$ ): $-\frac{7}{9}$
Y-intercept ( $b$ ): $7$

STEP 6

To graph the linear function, start by plotting the y-intercept on the graph at point $(0, 7)$ .

STEP 7

Use the slope to find another point. The slope $-\frac{7}{9}$ means that for every 9 units you move to the right (positive x-direction), you move 7 units down (negative y-direction).
From the y-intercept (0, 7), move 9 units to the right to (9, 7), then move 7 units down to (9, 0).

STEP 8

Draw a line through the points (0, 7) and (9, 0) to graph the linear function.

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Questiona. Rewrite the given equation $7 x+9 y-63=0$ slope-intercept form. b. Give the slope and $y$ -intercept. c. Use the slope and $y$ -intercept to graph the linear function.

Studdy Solution

STEP 1

1. The equation given is a linear equation in two variables.
2. The slope-intercept form of a linear equation is $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.
3. To graph the linear function, we need the slope and y-intercept.

STEP 2

1. Rewrite the equation in slope-intercept form.
2. Identify the slope and y-intercept from the equation.
3. Use the slope and y-intercept to graph the linear function.

STEP 3

Start with the given equation:
$7x + 9y - 63 = 0$
Isolate $y$ to rewrite the equation in slope-intercept form. First, move $7x$ and $-63$ to the other side:
$9y = -7x + 63$

STEP 4

Divide every term by 9 to solve for $y$ :
$y = -\frac{7}{9}x + 7$
This is the slope-intercept form of the equation.

STEP 5

Identify the slope ( $m$ ) and y-intercept ( $b$ ) from the equation $y = -\frac{7}{9}x + 7$ :
Slope ( $m$ ): $-\frac{7}{9}$
Y-intercept ( $b$ ): $7$

STEP 6

To graph the linear function, start by plotting the y-intercept on the graph at point $(0, 7)$ .

STEP 7

Use the slope to find another point. The slope $-\frac{7}{9}$ means that for every 9 units you move to the right (positive x-direction), you move 7 units down (negative y-direction).
From the y-intercept (0, 7), move 9 units to the right to (9, 7), then move 7 units down to (9, 0).

STEP 8

Draw a line through the points (0, 7) and (9, 0) to graph the linear function.

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Questiona. Rewrite the given equation 7x+9y−63=07 x+9 y-63=07x+9y−63=0 slope-intercept form. b. Give the slope and yyy-intercept. c. Use the slope and yyy-intercept to graph the linear function.

Studdy Solution

STEP 1

1. The equation given is a linear equation in two variables.2. The slope-intercept form of a linear equation is y=mx+b y = mx + b y=mx+b, where m m m is the slope and b b b is the y-intercept.3. To graph the linear function, we need the slope and y-intercept.

STEP 2

1. Rewrite the equation in slope-intercept form.2. Identify the slope and y-intercept from the equation.3. Use the slope and y-intercept to graph the linear function.

STEP 3

Start with the given equation:7x+9y−63=0 7x + 9y - 63 = 0 7x+9y−63=0Isolate y y y to rewrite the equation in slope-intercept form. First, move 7x 7x 7x and −63 -63 −63 to the other side:9y=−7x+63 9y = -7x + 63 9y=−7x+63

STEP 4

Divide every term by 9 to solve for y y y:y=−79x+7 y = -\frac{7}{9}x + 7 y=−97​x+7This is the slope-intercept form of the equation.

STEP 5

Identify the slope (m m m) and y-intercept (b b b) from the equation y=−79x+7 y = -\frac{7}{9}x + 7 y=−97​x+7:Slope (m m m): −79-\frac{7}{9}−97​Y-intercept (b b b): 7 7 7

STEP 6

To graph the linear function, start by plotting the y-intercept on the graph at point (0,7) (0, 7) (0,7).

STEP 7

Use the slope to find another point. The slope −79-\frac{7}{9}−97​ means that for every 9 units you move to the right (positive x-direction), you move 7 units down (negative y-direction).From the y-intercept (0, 7), move 9 units to the right to (9, 7), then move 7 units down to (9, 0).

STEP 8

Draw a line through the points (0, 7) and (9, 0) to graph the linear function.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Questiona. Rewrite the given equation $7 x+9 y-63=0$ slope-intercept form. b. Give the slope and $y$ -intercept. c. Use the slope and $y$ -intercept to graph the linear function.

1. The equation given is a linear equation in two variables.
2. The slope-intercept form of a linear equation is $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.
3. To graph the linear function, we need the slope and y-intercept.

1. Rewrite the equation in slope-intercept form.
2. Identify the slope and y-intercept from the equation.
3. Use the slope and y-intercept to graph the linear function.

Start with the given equation:
$7x + 9y - 63 = 0$
Isolate $y$ to rewrite the equation in slope-intercept form. First, move $7x$ and $-63$ to the other side:
$9y = -7x + 63$

Divide every term by 9 to solve for $y$ :
$y = -\frac{7}{9}x + 7$
This is the slope-intercept form of the equation.

Identify the slope ( $m$ ) and y-intercept ( $b$ ) from the equation $y = -\frac{7}{9}x + 7$ :
Slope ( $m$ ): $-\frac{7}{9}$
Y-intercept ( $b$ ): $7$

To graph the linear function, start by plotting the y-intercept on the graph at point $(0, 7)$ .

Use the slope to find another point. The slope $-\frac{7}{9}$ means that for every 9 units you move to the right (positive x-direction), you move 7 units down (negative y-direction).
From the y-intercept (0, 7), move 9 units to the right to (9, 7), then move 7 units down to (9, 0).