Question

Write an equation of the line that passes through (2, -5) and has a slope of 4

Answer 1

To find the y-intercept, we can use the equation y=mx+b, where we plug in the coordinates for y and x, and m for the slope, and solve for b.
Coordinates are (2,-5) so x = 2, and y = -5. Since the slope is 4, m = 4
Plugging them in, we get:
-5 = 2(4) + b
-5 = 8 + b
-13 = b
The y intercept is -13. So the equation is:
y = 4x - 13.
Hope this helps

Answer 2

Explanation:

(y-(-5))/(x-2) = 4

(y+5)/(x-2) = 4

y+5 = 4x - 8

y = 4x - 13