Question

use point-slope form to write the equation of a line that passes through the point (-19, -15) with slope 5. answer attempt 1 out of 2

Explanation:

Step1: Recall point - slope formula

The point - slope form of a linear equation is given by \(y - y_1=m(x - x_1)\), where \((x_1,y_1)\) is a point on the line and \(m\) is the slope of the line.

Step2: Identify values of \(x_1\), \(y_1\) and \(m\)

We are given that the point \((x_1,y_1)=(- 19,-15)\) and the slope \(m = 5\).

Step3: Substitute values into the formula

Substitute \(x_1=-19\), \(y_1 = - 15\) and \(m = 5\) into the point - slope formula \(y - y_1=m(x - x_1)\).
We get \(y-(-15)=5(x - (-19))\).
Simplify the left - hand side and the right - hand side: \(y + 15=5(x + 19)\).

Answer:

\(y + 15 = 5(x + 19)\)