What is the slope-intercept form of 5x+y/5=17 ?

2 Answers
Dec 11, 2015

The slope intercept form is y=-25x+85, where -25 is the slope and 85 is the y-intercept.

Explanation:

5x+y/5=17 is the standard form for a linear equation. To convert it to slope intercept form, solve for y.

5x+y/5=17

Subtract 5x from both sides.

y/5=-5x+17

Multiply both sides by 5.

y=(5)(-5x)+17(5)

Simplify.

y=-25x+85

Dec 11, 2015

The slope-intercept form of 5x + y/5 = 17 is y =-25x + 85.

Explanation:

The equation of any given line in slope-intercept form is:

y = mx + b

The slope is represented by m and the y-intercept is b.

The bottom line is, we want to isolate y. So let's do it! (:

5x + y/5 = 17 Given

y/5 = -5x + 17 Subtract 5x From Both Sides

y = -25x + 85 Isolate y By Multiplying By 5

So, the slope-intercept form of 5x + y/5 = 17 is y =-25x + 85.