In the graph shown above, which line has a slope value

Ответ:

markusfloyd9192

28.04.2021

y=2x-4

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take two points from the data in the table

(-5,-14) and (1,-2)

substitute the values

$m=\frac{-2+14}{1+5}$

$m=\frac{12}{6}$

m=2

step 2

Find the equation in point slope form

y-y1=m(x-x1)

we have

m=2

$point\ (1,-2)$

substitute

y+2=2(x-1)

step 3

Convert to slope intercept form

Isolate the variable y

$y+2=2x-2\\y=2x-2-2\\y=2x-4$

see the attached figure to better understand the problem

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