Question

Write an equation of a line perpendicular to y = x - 5 in slope-intercept form that passes through the point (2, -7).

1) y= x - 7

2) y= 2x + 2

3) y= -2x - 5

4) y= -2x - 3

Answer 1

Note that the slope of the line y = x - 5 is 1 so we want a line whose slope is -1, and none of the options satisifies that.

Answer 2

so what do i do? @Ahaanomegas

Answer 3

None of the options are correct. Are you sure you copied them correctly? The correct answer should be y = -x - 5.

Answer 4

@Ahaanomegas i left out 1/2

Answer 5

So what is the new question?

Answer 6

it is suppossed to be 1/2x -5

Answer 7

but its the same question and options

Answer 8

Ah. In that case, the desired slope of the line is -2, so the equation is of the form y = -2x + b, where b is a constant. To find b, note that (2, -7) is a point so \[ -7 = -2 \cdot (2) + b. \]Can you finish from here?

Answer 9

yes thank you very much

Answer 10

You're welcome! The "best response" button is another way of saying thank you. :)