Question

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

Answer 1

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