Question

Select the equation of a line that is perpendicular to the line on the graph and passes through the point (-1, 2). (1 point)


y = - 1/2 x + 2
y = - 2x + 2
y = 2x + 4
y = 2x - 1

Answer 1

@Will.H

Answer 2

so 1st we need to find the slope of the line in the graph
(-2,0) (0,-1)
Slope = -1 - 0/0 - (-2)
Slope = -1/2

Now since they said "perpendicular to the line in the graph"
that means the slope of the other line will be a number that when you multiply to the 1st slope the answer will be -1 Normally you just have to flip the slope of the 1st line
since the slope of the 1st line is -1/2 then the other slope will be 2 since it has to be perpendicular
proof:
-1/2 * 2 = -1
so indeed the slope of the other line is 2

and" it passes through the point (-1,2)" so now we use the form below
y - y1 = m(x - x1)
y - 2 = 2(x - (-1))
y - 2 = 2(x + 1)
y - 2 = 2x + 2
y = 2x + 4
hope that helps

Answer 3

it does , im just going to review it because its so much

Answer 4

let me make it easier

parallel lines : same slope

perpendicular lines: slope with a multiplication process resulting -1
Example if we have a slope of -2/3 the other slope will be 3/2 (you flip the fraction, in other words change the sign and change the places of numerator and denominator)

Answer 5

wait how do you know the other slope will be 2?

Answer 6

@Will.H

Answer 7

The lines are perpendicular
so therefor when you multiply them the result must be -1 right?
make that as equation
(-1/2)x = -1
where x is the other slope
solve for x
x = -1/-0.5
x = 2

Answer 8

OR
basically as i mentioned before you can flip the fraction of the 1st slope
the 1st slope is -1/2 flip that (switch the numerator and denominator and change the sign from negative to positive) therefor it is 2

Answer 9

Remember you can do that only if the lines are perpendicular

Answer 10

tag me if you need any additional help