Question

what is the equation of the line that passes through the point (-4, 3) and has a slope of $\frac{3}{4}$? answer

Explanation:

Step1: Use point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$, where $(x_1,y_1)$ is a point on the line and $m$ is the slope. Here $x_1=-4$, $y_1 = 3$ and $m=\frac{3}{4}$. So we have $y - 3=\frac{3}{4}(x+4)$.

Step2: Expand the right - hand side

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

Step3: Solve for y

Add 3 to both sides of the equation: $y=\frac{3}{4}x + 6$.

Answer:

$y=\frac{3}{4}x + 6$