Question

Find the slope intercept equation of the line containing (2, -3) and having slope m= 4

Answer 1

The slope-intercept form:

`y=mx+b`

m - slope

b - y-intercept

We have the slope m = 4. Substitute:

`y=4x+b`

Put the coordinates of the point (2, -3) to the equation of a line:

`-3=4(2)+b`

`-3=8+b` subtract 8 from both sides

`-11=b\to b=-11`

Answer: y = 4x - 11