Write an equation for the line with y-intercept 5 that is perpendicular to the line equation

line equation y=-3/4x+2

perpeneicular lines have slopes that multiply to get -1

for y=-3/4x+2

slope is -3/4

so if the other slope is ? then

-3/4 * ?=-1

?=4/3

y=mx+b, m=slope and b=y-intercept

we want slope o 4/3 and y intercept of 5

is the equation

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

where is the figure