Could a line through the origin perpendicular to a line through the origin with slope 1 / 2 pass through the point
(−1,4)? explain how you know.

  no

Step-by-step explanation:

The perpendicular line will have slope ...

  m = -1/(1/2) = -2

Since it goes through the origin, its equation is ...

  y = -2x

For x = -1, this is ...

  y = 2(-1) = -2

The line will go through the point (-1, 2), but not (-1, 4). (See attached)

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

ddd

step-by-step explanation: