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What is the equation of the line in slope-intercept form? Select the correct response.

What is the equation of the line in slope-intercept form? Select the correct response-example-1
User Ataur
by
9.3k points

1 Answer

3 votes

Answer: y =
(3x)/(2) - 4, first choice

Explanation:

The standard linear equation is y = mx + c where m is the slope and c is the y-intercept. To find the slope, we find the difference of y values and divide it by difference of x. In this case, the slope is

[2 - (-7)] ÷ [4 - (-2)] = 9 ÷ 6 =
(3)/(2)

So have have y =
(3x)/(2) + c. To find c, just substitute the x and y values of one of the coordinates, this can be any coordinate that lies on the graph.

2 =
(3(4))/(2) + c

2 = 6 + c

c = -4

So the graph is y =
(3x)/(2) - 4 which is the first choice from the top

User Seonjeong
by
8.5k points

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