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Gwar [14]
4 years ago
12

Mario compared the slope of the function graphed below to the slope of the linear function that has an x-intercept of 1 and a y-

intercept of -2.
Find the slope of both lines. In the answer box give the slope of the steeper line.

Mathematics
1 answer:
Lesechka [4]4 years ago
3 0

Answer:

The linear equation in the slope-intercept form will be:

y\:=\:\frac{2}{3}x+64

Step-by-step explanation:

From the line graph, taking two points

  • (21, 78)
  • (27, 82)

Finding the slope between (21, 78) and (27, 82)

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

\left(x_1,\:y_1\right)=\left(21,\:78\right),\:\left(x_2,\:y_2\right)=\left(27,\:82\right)

m=\frac{82-78}{27-21}

m=\frac{2}{3}

We know that the slope-intercept of the line equation is

y = mx+b

where m is the slope and b is the y-intercept

substituting (21, 78) and m = 2/3 in the slope-intercept of the line

y = mx+b

78=\frac{2}{3}\left(21\right)+b

switch sides

\frac{2}{3}\left(21\right)+b=78

14+b=78

b=64

substituting b = 64 and m = 2/3 in the slope-intercept of the line

y = mx+b

y\:=\:\frac{2}{3}x+64

Therefore, the linear equation in the slope-intercept form will be:

y\:=\:\frac{2}{3}x+64

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