Question

what is the equation of the line that passes through the point (4, 6) and has a slope of $\frac{3}{2}$? answer attempt 1 out of 2

Explanation:

Step1: Recall 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 $x_1 = 4$, $y_1=6$ and $m=\frac{3}{2}$.
$y - 6=\frac{3}{2}(x - 4)$

Step2: Expand the right - hand side

Using the distributive property $a(b - c)=ab - ac$, we have:
$y - 6=\frac{3}{2}x-6$

Step3: Solve for y

Add 6 to both sides of the equation:
$y=\frac{3}{2}x$

Answer:

$y=\frac{3}{2}x$