Question

use the given conditions to write an equation for the line in point - slope form and in slope - intercept form. passing through (-7,-5) and parallel to the line whose equation is y = - 3x + 1. write an equation for the line in point - slope form. (simplify your answer. use integers or fractions for any numbers in the equation.)

Explanation:

Step1: Determine the slope

Parallel lines have equal slopes. The slope of the line $y = - 3x+1$ is $m=-3$. So the slope of the required line is also $m = - 3$.

Step2: Write the point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$, where $(x_1,y_1)=(-7,-5)$ and $m=-3$. Substitute these values into the formula:
$y-(-5)=-3(x - (-7))$
$y + 5=-3(x + 7)$

Answer:

$y + 5=-3(x + 7)$