Question

Write the equation of the line that passes through the points (−8,4) and (−3,7). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answer 1

Answer:

$y = \frac{3}{5} x + 8 \frac{4}{5}$

Step-by-step explanation:

Point slope form

y=mx +c, where m is the gradient and c is the y-intercept.

To find the gradient, use the formula below:

$gradient = \frac{y1 - y2}{x1 - x2}$

$m = \frac{7 - 4}{ - 3 - ( - 8)} \\ m = \frac{3}{ - 3 + 8} \\ m = \frac{3}{5}$

Substitute the value of m into the equation

$y = \frac{3}{5} x + c$

To find c, substitute a coordinate into the equation.

When x= -3, y=7,

$7 = \frac{3}{5}( - 3) + c \\ 7 = - \frac{9}{5} + c \\ c = 7 + \frac{9}{5} \\ c = 8 \frac{4}{5}$

Thus, the equation of the line is $y = \frac{3}{5} x + 8 \frac{4}{5)$