Math / Algebra

Question狪, Graph this line using the slope and $y$ -intercept: $y=-5 x+10$
Click to select points on the graph.

Studdy Solution

STEP 1

1. The equation $y = -5x + 10$ is in slope-intercept form, $y = mx + b$ .
2. The slope $m$ is $-5$ , and the $y$ -intercept $b$ is $10$ .
3. We need to graph the line by plotting points using the slope and $y$ -intercept.

STEP 2

1. Identify the slope and $y$ -intercept.
2. Plot the $y$ -intercept on the graph.
3. Use the slope to find another point on the line.
4. Draw the line through the points.

STEP 3

Identify the slope and $y$ -intercept from the equation $y = -5x + 10$ .
- The slope $m$ is $-5$ . - The $y$ -intercept $b$ is $10$ .

STEP 4

Plot the $y$ -intercept on the graph.
- The $y$ -intercept is the point where the line crosses the $y$ -axis. - Plot the point $(0, 10)$ on the graph.

STEP 5

Use the slope to find another point on the line.
- The slope $-5$ means for every 1 unit increase in $x$ , $y$ decreases by 5 units. - From the point $(0, 10)$ , move 1 unit to the right (increase $x$ by 1) and 5 units down (decrease $y$ by 5). - This gives the new point $(1, 5)$ .

STEP 6

Draw the line through the points.
- Plot the second point $(1, 5)$ on the graph. - Draw a straight line through the points $(0, 10)$ and $(1, 5)$ .

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Question狪, Graph this line using the slope and $y$ -intercept: $y=-5 x+10$
Click to select points on the graph.

Studdy Solution

STEP 1

1. The equation $y = -5x + 10$ is in slope-intercept form, $y = mx + b$ .
2. The slope $m$ is $-5$ , and the $y$ -intercept $b$ is $10$ .
3. We need to graph the line by plotting points using the slope and $y$ -intercept.

STEP 2

1. Identify the slope and $y$ -intercept.
2. Plot the $y$ -intercept on the graph.
3. Use the slope to find another point on the line.
4. Draw the line through the points.

STEP 3

Identify the slope and $y$ -intercept from the equation $y = -5x + 10$ .
- The slope $m$ is $-5$ . - The $y$ -intercept $b$ is $10$ .

STEP 4

Plot the $y$ -intercept on the graph.
- The $y$ -intercept is the point where the line crosses the $y$ -axis. - Plot the point $(0, 10)$ on the graph.

STEP 5

Use the slope to find another point on the line.
- The slope $-5$ means for every 1 unit increase in $x$ , $y$ decreases by 5 units. - From the point $(0, 10)$ , move 1 unit to the right (increase $x$ by 1) and 5 units down (decrease $y$ by 5). - This gives the new point $(1, 5)$ .

STEP 6

Draw the line through the points.
- Plot the second point $(1, 5)$ on the graph. - Draw a straight line through the points $(0, 10)$ and $(1, 5)$ .

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Question狪, Graph this line using the slope and yyy-intercept: y=−5x+10y=-5 x+10y=−5x+10Click to select points on the graph.

Studdy Solution

STEP 1

1. The equation y=−5x+10 y = -5x + 10 y=−5x+10 is in slope-intercept form, y=mx+b y = mx + b y=mx+b.2. The slope m m m is −5-5−5, and the y y y-intercept b b b is 101010.3. We need to graph the line by plotting points using the slope and y y y-intercept.

STEP 2

1. Identify the slope and y y y-intercept.2. Plot the y y y-intercept on the graph.3. Use the slope to find another point on the line.4. Draw the line through the points.

STEP 3

Identify the slope and y y y-intercept from the equation y=−5x+10 y = -5x + 10 y=−5x+10.- The slope m m m is −5-5−5. - The y y y-intercept b b b is 101010.

STEP 4

Plot the y y y-intercept on the graph.- The y y y-intercept is the point where the line crosses the y y y-axis. - Plot the point (0,10)(0, 10)(0,10) on the graph.

STEP 5

STEP 6

Draw the line through the points.- Plot the second point (1,5)(1, 5)(1,5) on the graph. - Draw a straight line through the points (0,10)(0, 10)(0,10) and (1,5)(1, 5)(1,5).

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Start learning now

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

Question狪, Graph this line using the slope and $y$ -intercept: $y=-5 x+10$
Click to select points on the graph.

1. The equation $y = -5x + 10$ is in slope-intercept form, $y = mx + b$ .
2. The slope $m$ is $-5$ , and the $y$ -intercept $b$ is $10$ .
3. We need to graph the line by plotting points using the slope and $y$ -intercept.

1. Identify the slope and $y$ -intercept.
2. Plot the $y$ -intercept on the graph.
3. Use the slope to find another point on the line.
4. Draw the line through the points.

Identify the slope and $y$ -intercept from the equation $y = -5x + 10$ .
- The slope $m$ is $-5$ . - The $y$ -intercept $b$ is $10$ .

Plot the $y$ -intercept on the graph.
- The $y$ -intercept is the point where the line crosses the $y$ -axis. - Plot the point $(0, 10)$ on the graph.

Draw the line through the points.
- Plot the second point $(1, 5)$ on the graph. - Draw a straight line through the points $(0, 10)$ and $(1, 5)$ .