Question

Find the equation of the line that passes through the points (-2, - 5) and (3. – 8).​

Answer 1

Equation of line that passes through the points is; y= -13x - 31

Explanation:

Given coordinates;

(- 2, - 5) and (3. - 8)

Find:

Equation of the line

Computation:

Equation of line that passes through the points is;

y = mx + c

So,

in (- 2, - 5)

-5 = m(-2) + c

-5 = -2m + c ...................Eq1

in (3, - 8)

- 8 = m(3) + c

-8 = 3m + c .....................Eq2

From eq2 + eq1

m = -13

-5 = -2m + c

-5 = -2(-13) + c

-5 = 26 + c

c = -31

So,

y = mx + c

y = (-13)x + (-31)

Equation of line that passes through the points is; y= -13x - 31