Question

Find a linear equation satisfying the condition, if possible.

Passes through (−1,7)
and (1,13)

Answer 1

y = 4x + 9

Explanation:

y = mx + b

You need two things: the m (slope) and the b (y-intercept)

Slope (m):

This is the change in y over the change in x. You find the change by subtracting.

The y values are 13 and 7 (-1,7) (1,13).

The x values are 1 and -1 (-1,7) (1,13)

`(13-7)/(1-(-1))` =
`(8)/(1 + 1)` =
`(8)/(2)` = 4

The m (slope) is 4.

y -intercept (b):

To find this, you will use the x and y values from one of the points, I will use the point (1,13) and the slope that we just found 4.

y = mx = b

13 = (4)(1) + b

13 = 4 + b Subtract 4 from both sides

9 = b

The y-intercept (b) is 9.

y = mx + b Substitute in the values for m and b that we just found.

y = 4x + 9

Helping in the name of Jesus.