Question

2) find an equation of the line theough the given

points. Give the final answer in slope-intercept form.
(2,-2) (-1,4)

Answer 1

y = -2x + 2

Explanation:

Given the following data;

Points on the x-axis (x1, x2) = (2, -1)

Points on the y-axis (y1, y2) = (-2, 4)

To find the equation of line in slope intercept form;

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 {4 - (-2)}{-1 -2}`

`Slope, m = \frac {4 + 2}{-1 -2}`

`Slope, m = \frac {6}{-3}`

Slope, m = -2

Next, we would use the following formula to find the equation of the line;

y - y1 = m(x - x1)

Substituting into the formula, we have;

y - (-2) = -2(x - 2)

y + 2 = -2x + 4

y = -2x + 4 - 2

y = -2x + 2 = mx + c