Write and equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation (-4,5),y=-4x-1 step by step

y=1/4x+6

Step-by-step explanation:

So when the slope is perpendicular to -4, then the slope = 1/4 because of negative reciprocal.

y=1/4x+b

Enter the given point (-4,5) into the equation.

5=1/4(-4)+b

5=-1+b

b=6

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions