Question

What is the equation of the line that passes through (-4,1) And (-2,3)?

Answer 1

slope = (3 - 1)/(-2 + 4) = 2/2 = 1

equation
y - 1 = x + 4
y = x + 5

answer
y = x + 5

Answer 2

Equation of line is y = x+5

Explanation:

The line is passing through the points (-4,1) And (-2,3).

Slope of the line is given by

`m=(y_2-y_1)/(x_2-x_1)\\\\m=(3-1)/(-2+4)\\\\m=(2)/(2)\\\\m=1`

Point slope form of a line is given by

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

Substituting the known values

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

On simplifying, we get

`y-1=x+4\\\\y=x+5`

Equation of line is y = x+5