a line that passes through (-3,8) and has a slope of 9

Question

a line that passes through (-3,8) and has a slope of 9

Answer 1

The standard equation of a line with slope m and y intercept c is given by

Y =mx + c

On this the slope is 9 but you need to find y intercept c. Simply plug in x = -3, y=8, and find c

8 =9*-3 + c, c=35

So your standard equation is y= 9x +35

You can verify its correct by placing (-3,8) in the equation

8 = 9*-3 +35

8 = -27+35

8=8 correct

Answer 2

I assume that you want the equation of the line.

The easiest way is to use the point-slope form of the line: y=m(x-x1)+y1 where (x1,y1) is the point and m is the slope.

Plugging in we get y=9(x--3)-8 = 9x+27-8=9x+19