A line passes through (1, 3) and (4, 7). Which line would be perpendicular to this line?

We can use the points given to solve for the slope.

Slope formula: y2-y1/x2-x1

7-3/4-1

4/3

Find the y-intercept.

y = mx + b

3 = 4/3(1) + b

3 = 4/3 + b

5/3 = b

The slope of a perpendicular line is the opposite and reciprocal.

4/3 -> -3/4

Write the new equation.

y = -3/4x + 5/3

Best of Luck!

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