Math  /  Algebra

QuestionQuestion 8 - of 48 Step 2 of 3
Consider the following equations. 1(4y+3x)=5(xy) and y+3=7+8x1-(4 y+3 x)=5(x-y) \text { and } y+3=7+8 x
Step 2 of 3: Express the second equation in slope-intercept form. Simplify your answer.
Answer 2 Points

Studdy Solution

STEP 1

1. We need to convert the given linear equation into slope-intercept form, which is y=mx+b y = mx + b .
2. The slope-intercept form makes it easier to identify the slope and y-intercept of a line.

STEP 2

1. Isolate the variable y y in the second equation.
2. Simplify the equation to achieve the slope-intercept form.

STEP 3

Start with the second equation:
y+3=7+8x y + 3 = 7 + 8x
Subtract 3 from both sides to isolate y y :
y=7+8x3 y = 7 + 8x - 3

STEP 4

Simplify the right side of the equation:
y=8x+4 y = 8x + 4
Now the equation is in slope-intercept form, y=mx+b y = mx + b , where m=8 m = 8 and b=4 b = 4 .
The simplified slope-intercept form of the second equation is:
y=8x+4 y = 8x + 4

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