Question

Line M passes through the points (-5, 8) and (-1, 9) what is true of line M

Answer 1

Answer:

The equation of the line is:

• $y=\frac{1}{4}x+\frac{37}{4}$

Step-by-step explanation:

Given the points

• (-5, 8)

• (-1, 9)

Finding the slope between the points

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-5,\:8\right),\:\left(x_2,\:y_2\right)=\left(-1,\:9\right)$

$m=\frac{9-8}{-1-\left(-5\right)}$

$m=\frac{1}{4}$

Using the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

substituting the values m = 1/4 and the point (-5, 8)

$y-8=\frac{1}{4}\left(x-\left(-5\right)\right)$

$y-8=\frac{1}{4}\left(x+5\right)$

Add 8 to both sides

$y-8+8=\frac{1}{4}\left(x+5\right)+8$

$y=\frac{1}{4}x+\frac{37}{4}$

Thus, the equation of the line is:

• $y=\frac{1}{4}x+\frac{37}{4}$