Question

Graph the line that passes through the points (-4,-6) and (-2,-7) and

Answer 1

Answer:

$y=-\frac{1}{2}x-8$

Step-by-step explanation:

$(-4,-6)(-2,-7)$

Step 1. Find the slope (by using the slope-formula)

m = slope

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-7--6}{-2--4}$

$m=\frac{-1}{2}$

$m=-\frac{1}{2}$

Step 2. Create the equation of a line that has a slope of $-\frac{1}{2}$

$y=-\frac{1}{2} x+b$

Step 3. Find the y-intercept

To do this, use any of the two points and substitute their x and y values

$y=-\frac{1}{2}x+b$

point: $(-2,-7)$

$(-7)=-\frac{1}{2}(-2)+b$

$(-7)=1+b$

$b=-7-1$

$b=-8$

Step 4. Write the equation in Slope-intercept form

$y=mx+b$

$y=-\frac{1}{2} x-8$