Questions: Consider the following equations. [ 8-(4 y+3 x)=6(x-y) ] Step 1 of 3: Express the first equation in slope-intercept form. Simplify your answer.

Transcript text: Consider the following equations. \[ 8-(4 y+3 x)=6(x-y) \] Step 1 of 3: Express the first equation in slope-intercept form. Simplify your answer. Answer

Solution

Solution Steps

Step 1: Isolate the y-term

To isolate the y-term, we rearrange the equation to get y on one side. Given the coefficients, we have: \[y = \frac{-9}{2}x + \frac{8}{2}\] After simplification, we get: \[y = -4.5x + 4\]

Step 2: Solve for y

Since we have isolated y in the previous step, we have already solved for y in terms of x.

Step 3: Identify m and b

The coefficient of x, which is the slope (m), is -4.5. The constant term, which is the y-intercept (b), is 4.