Question

A line passes through the points one, four and three, -4 which is the equation of the line

Answer 1

ANSWER

$y = - 4x + 8$

EXPLANATION

The given line passes through (1,4) and (3,-4).

The slope of this line is calculated using the formula:

$m =\frac{y_2-y_1}{x_2-x_1}$

We substitute the points into the slope formula to get:

$m = \frac{ - 4 - 4}{3 - 1}$

$\implies \: m = \frac{ - 8}{2}$

$m = - 4$

We substitute the first point and slope into the point-slope formula

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

This implies that

$y - 4 = - 4(x - 1)$

We expand to get

$y - 4 = - 4x + 4$

$y = - 4x + 2/4+ 4$

$y = - 4x + 8$