Q:

what is the equation of the line through (5,1) with a slope of -3?a. y+1 = 3(x+5)b. y-1 = 3(x-5)c. y-1 = -3(x-5)d. y+1 = -3(x-5)

Accepted Solution

A:
Answer:CStep-by-step explanation:The equation of a line is given by the formula  [tex]y-y_1=m(x-x_1)[/tex]Where [tex]x_1[/tex] is the x-coordinate (it is given as 5)[tex]y_1[/tex] is the y-coordinate (it is given as 1), andm is the slope (it is given  as -3)Plugging in all the info into the formula we have:[tex]y-y_1=m(x-x_1)\\y-1=-3(x-5)[/tex]From the answer choices, we see that C is the correct answer.