Question

Find the equation of the line that is perpendicular to y = -3/4 + 1 and contains the point 9,12. The answer must be a whole number

Answer 1

The perpendicular equation is y = 4/3x

Explanation:

To find the equation perpendicular to this, we first need to look at the slope of the original line, which is -3/4. Perpendicular lines have opposite and reciprocal slopes, meaning that the new line would have 4/3 slope. Now we can use this and the point in point-slope form to get the final equation.

y - y1 = m(x - x1)

y - 12 = 4/3(x - 9)

y - 12 = 4/3x - 12

y = 4/3x