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 = (-3)/(4)*3 +b`

`b = 6 + (9)/(4) = (33)/(4)`

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

`y = (-3)/(4)x + (33)/(4)`