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.

Question

asked Mar 16, 2021 189k views

1 Answer

Giogix · Answer 1 · 2021-03-22T04:02:30+0000

Answer:

y = (3)/(5) x + 8 (4)/(5)

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 = (y1 - y2)/(x1 - x2)

$m = (7 - 4)/( - 3 - ( - 8)) \\ m = (3)/( - 3 + 8) \\ m = (3)/(5)$

Substitute the value of m into the equation

y = (3)/(5) x + c

To find c, substitute a coordinate into the equation.

When x= -3, y=7,

$7 = (3)/(5)( - 3) + c \\ 7 = - (9)/(5) + c \\ c = 7 + (9)/(5) \\ c = 8 (4)/(5)$

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