–8x + y = 9

y = [ ]x + [ ]

y = 8x + 9

To find the slope-intercept form of the given equation, we can rearrange the equation to solve for y in terms of x.

Given:
-8x + y = 9

To isolate y, we can add 8x to both sides of the equation:
-8x + 8x + y = 9 + 8x

Simplifying the equation:
y = 8x + 9

So, the slope-intercept form of the equation is y = 8x + 9. The coefficient of x (8) represents the slope, and the constant term (9) represents the y-intercept.

To write the equation y = mx + b in slope-intercept form, we need to find the values of m and b.

Given the equation -8x + y = 9, we can rearrange it to solve for y:

y = 8x + 9

So, the value of m is 8 and the value of b is 9. Therefore, the equation y = 8x + 9 is in slope-intercept form.