Question

Write the equation of the line that passes through the points (-1,-4) and (9,-5).

Answer 1

Answer:

The equation in point-slope form is: $y+4=\frac{-1}{10}(x+1)$

Step-by-step explanation:

Write the equation of the line that passes through the points (-1,-4) and (9,-5).

The point slope form is:  $y-y_1=m(x-x_1)$

Where m is slope and x₁ and y₁ are the points given

Finding Slope

Slope can be found of given points using formula:  $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have  $x_1=-1, y_1=-4, x_2=9, y_2=-5$

Putting values and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-5-(-4)}{9-(-1)}\\ Slope=\frac{-5+4}{9+1}\\ Slope=\frac{-1}{10}$

So, slope m = -1/10

Using point (-1,-4) and slope m = -1/10 the equation is:

$y-y_1=m(x-x_1)\\y-(-4)=\frac{-1}{10}(x-(-1))\\y+4=\frac{-1}{10}(x+1)$

So, the equation in point-slope form is: $y+4=\frac{-1}{10}(x+1)$