Question

Which of the following is an equation of the line that passes through the point (3,6) and has a slope of -3/4

Answer 1

In this question, we have a point given which is (3,6) and a slope, m which is -3/4 .

Now we use slope intercept form, which is

$y= mx +b$

Where m is the slope and b is the y intercept.

Substituting the point for x and y, and the value of m, we have to solve for b , that is

$6 = \frac{-3}{4}*3 +b$

$b = 6 + \frac{9}{4} = \frac{33}{4}$

Substituting the values of m and b in slope intercept form, we will get

$y = \frac{-3}{4}x + \frac{33}{4}$