Question

Which equation represents the line that passes through the points (-4, 0) and (0, 6)

Answer 1

y = 1.5x + 6

Explanation:

Given the following data;

Points on the x-axis (x1, x2) = (-4, 0)

Points on the y-axis (y1, y2) = (0, 6)

To find the equation of line;

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 {6 - 0}{0 - (-4)}`

`Slope, m = \frac {6}{4}`

Slope, m = 1.5

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

y - y1 = m(x - x1)

Substituting into the formula, we have;

y - 0 = 1.5(x - (-4))

y = 1.5x + 6