Slope-Intercept Equation

Question

Write the slope-intercept equation of the function f whose graph satisifies the given conditions. The graph of f passes through (-6,7) and is perpendicular to the line that has an x-intercept of 4 and a y-intercept of -12. The equation of the function is. Use integers or fractions for any numbers in the equation.

Answer 1

The given line eats (4,0) and (0,-12)

It's slope is -12/-4 = 3

The perpendicular line has slope -1/3.

SInce the perpendicular line eats (-6,7), x=-6, y = 7 and m=-1/3

B = y - mx = 7 - (-1/3)(-6) = 7 - 2 = 5

y = (-1/3)x + 5 = f(x)