Question

Which linear equation below is parallel to line y=2x+7 and passes through the point (-3, -1)? *

a.y=-2x
b.y=-1/2x-4
c.y=2x-5
d.y=2x-4

Answer 1

The required equation is:

`y=2x+5`

Explanation:

Given the line

`y=2x+7`

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

`y=mx+b`

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

Thus, the slope of the line is 2.

As the parallel lines have the same slope.

Thus, the linear equation that is parallel to the line and passes through the point (-3, -1) can be obtained using the point-slope form will be:

`y-y_1=m\left(x-x_1\right)`

substituting the values m = 2 and the point (-3, -1)

`y-(-1)=2(x-(-3)`

`y+1 = 2(x+3)`

`y+1 = 2x+6`

`y=2x+6-1`

`y=2x+5`

Thus, the required equation is:

`y=2x+5`

Note: It seems you mistyped the correct option in question. The reason is that not a single equation is being matched with the given answer options.