Question

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

determine the equation of the line.

Answer 1

`y=-(1)/(2)x-8`

Explanation:

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

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

m = slope

`m=(y_2-y_1)/(x_2-x_1)`

`m=(-7--6)/(-2--4)`

`m=(-1)/(2)`

`m=-(1)/(2)`

Step 2. Create the equation of a line that has a slope of
`-(1)/(2)`

`y=-(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=-(1)/(2)x+b`

point:
`(-2,-7)`

`(-7)=-(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=-(1)/(2) x-8`