Question

Write the slope-intercept form of the equation of the line described below.

Answer 1

The equation of the line is $y=-\frac{2}{5}x-5$

Explanation:

Given that the line passes through the points (-5,-3)

The slope of the line is $m=-\frac{2}{5}$

We need to determine the equation of the line.

Equation of the line:

The equation of the line can be determined using the formula,

$y-y_1=m(x-x_1)$

Let us substitute the points (-5,-3) and the slope $m=-\frac{2}{5}$ in the above formula.

Thus, we have;

$y+3=-\frac{2}{5}(x+5)$

Simplifying, we get;

$y+3=-\frac{2}{5}x-2$

Subtracting 3 from both sides of the equation, we get;

$y=-\frac{2}{5}x-5$

Hence, the equation of the line in slope - intercept form is $y=-\frac{2}{5}x-5$