Question

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

Answer 1

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!