Question

use point-slope form to write the equation of a line that passes through the point (-15, -3) with slope -3/7. answer attempt 1 out of 3

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 \((x_1,y_1)=(- 15,-3)\) and the slope \(m =-\frac{3}{7}\).

Step3: Substitute values into the formula

Substitute \(x_1=-15\), \(y_1 = - 3\) and \(m=-\frac{3}{7}\) into the point - slope formula \(y - y_1=m(x - x_1)\).
We get \(y-(-3)=-\frac{3}{7}(x - (-15))\), which simplifies to \(y + 3=-\frac{3}{7}(x + 15)\).

Answer:

\(y + 3=-\frac{3}{7}(x + 15)\)