Question

What is the equation of the line that passes through the point (−4,−3) and has a slope of \frac{3}{4}

Answer 1

y =
`(3)/(4)` x

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m =
`(3)/(4)` , then

y =
`(3)/(4)` x +c ← is the partial equation

To find c substitute (- 4, - 3) into the partial equation

- 3 = - 3 + c ⇒ c = - 3 + 3 = 0

y =
`(3)/(4)` x ← equation of line