Question

What is the slope-intercept form of the equation of a line that passes through (5, -4) and has a slope of 3/4?

Answer 1

The equation of the line that passes through the point (5, -4) and a slope of 3/4 is $y = \frac{3}{4} x - \frac{31}{4}$

Answer 2

First write the equation in point-slope form.

point slope : y - y1 = m (x - x1)

y - (-4) = 3/4 (x - 5)

Now simplify:

y + 4 = 3/4 (x - 5)
y + 4 = 3/4x - 3.75
y = 3/4 - 7.75

Hope this helps :)