Question

Find the equationFind the equation (in terms of

x
) of the line through the points (-4,-5) and (3,5) (in terms of x ) of the line through the points (-4,-5) and (3,5)

Answer 1

Explanation:

Given the following data;

Points on the x-axis (x1, x2) = (-4, 3)

Points on the y-axis (y1, y2) = (-5, 5)

To find the equation of line in terms of x;

First of all, we would determine the slope of the line;

Mathematically, slope is given by the formula;

`Slope = (Change \; in \; y \; axis)/(Change \; in \; x \; axis)`

`Slope, m = \frac {y_(2) - y_(1)}{x_(2) - x_(1)}`

Substituting into the equation, we have;

`Slope, m = \frac {5 - (-5)}{3 - (-4)}`

`Slope, m = \frac {10}{7}`

Slope, m = 10/7

Next, we find the equation;

y - y1 = m(x - x1)

y - (-5) = 10/7(x -(-4))

y + 5 = 10/7(x +4)