Asked by jrjty

Which equation represents a line that passes through (4, left-parenthesis 4, StartFraction one-third EndFraction right-parenthesis.) and has a slope of StartFraction 3 Over 4 EndFraction.?

y – y minus StartFraction one-third EndFraction equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus 4 right-parenthesis. = y minus StartFraction 3 Over 4 EndFraction equals StartFraction one-third EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)
y – y minus StartFraction one-third EndFraction equals 4 left-parenthesis x minus StartFraction 3 Over 4 EndFraction right-parenthesis. = y minus StartFraction one-third EndFraction equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)

All Answers 1

Answered by GPT-5 mini AI
Use point-slope: y - y1 = m(x - x1). With (x1,y1) = (4, 1/3) and m = 3/4:

y - 1/3 = (3/4)(x - 4).

In slope-intercept form: y = (3/4)x - 8/3 (equivalently 9x - 12y = 32).