Question

HELP MATH FINAL.

What is the slope of the line that contains these points?
X
-7 -4 -1 2
y -7
14 35 56
slope:

Answer 1

the slope will be -7 and 14

Answer 2

The slope of the line passing through the points (-7, -7), (-4, 14), (-1, 35), and (2, 56) is 7.

To find the slope of the line that contains the points (−7,−7), (−4,14), (−1,35), (2,56), you can use the formula for calculating the slope between two points
`\left(x_1, y_1\right)` and
`\left(x_2, y_2\right)`

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

Let's choose two consecutive points and calculate the slope:

Between (−7,−7) and (−4,14):

Slope
`=(14-(-7))/((-4)-(-7))=(21)/(3)=7`

Between (−4,14) and (−1,35):

Slope
`=(35-14)/((-1)-(-4))=(21)/(3)=7`

Between (−1,35) and (2,56):

Slope
`=(56-35)/(2-(-1))=(21)/(3)=7`

The slope is the same for all pairs of consecutive points, which means the line is a straight line. The slope of the line containing these points is 7.