Question

Is it parallel or is it perpendicular?

Answer 1

it is parallel, which means that the new line should have the same slope of the given line
`y=-5/4  x+7`
and the slope is the coefficient of x
so the slope = -5/4
in order to solve this problem we have to know the equation of the slop

`slope= (y-y1)/(x-x1)`
where (x1,y1) is the point by which the new line passes through


`(-5)/(4)=(y-(-4))/(x-1)`

`(-5)/(4)= (y+4)/(x-1)`
-5(x-1)=4(y+4)
-5x +5=4y+16 (by subtracting 16 from both sides)
-5x -11= 4y (divide both sides by 4)
y=
`(-5)/(4)x - (11)/(4)`