Question

Write an equation of the line that passes through the given point P and

Answer 1

Answer (assuming it can be in point-slope form):

$y-4 = 3(x+2)$  

Step-by-step explanation:

Use the point-slope formula $y-y_1 = m (x-x_1)$, to write the equation of the line in point-slope form. Substitute x and y values for $m$, $x_1$, and $y_1$ in the formula.

Since $m$ represents the slope, substitute 3 for it. Since $x_1$ and $y_1$ represent the x and y values of a point the line intersects, take the x and y values of point P and substitute them into the equation as well. Substitute -2 for $x_1$ and 4 for $y_1$. This gives the following answer:

$y-4 = 3(x+2)$