Question

What is the slope-intercept form of the equation of a line that passes through (5, -4) and has a slope of `3/4`? A. `y = -(3)/(4) x -(1)/(4)` B. `y = 3/4 x +(1)/(4)` C. `y = 3/4 x -(31)/(4)` D. `y = 3/4 x +(31)/(4)`

Answer 1

The point-slope form of the equation can be written as

... y = m(x -h) +k . . . . . a line through point (h, k) with slope m

Substituting your given values and simplifying gives

... y = (3/4)(x -5) -4

... y = (3/4)x -31/4 . . . . . . . corresponds to selection C