put the following equation of a line into slope-intercept form, simplifying all fractions. 2x + y = 8

put the following equation of a line into slope-intercept form, simplifying all fractions. 2x + y = 8

put the following equation of a line into slope-intercept form, simplifying all fractions. 2x + y = 8

Answer

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a line is (y=mx + b), where (m) is the slope and (b) is the y - intercept. We need to solve the given equation (2x + y=8) for (y).

Step2: Isolate (y)

Subtract (2x) from both sides of the equation (2x + y = 8). Using the subtraction property of equality, we get (y=-2x + 8).

Answer:

(y = - 2x+8)