Question

What is the equation of a line that passes through point R(−4, −3) and has a slope of 7?

A: y = 7x + 25
B: y = 7x − 25
C: y = 7x + 3
D: y = −7x − 3

Answer 1

m = 7 is the given slope
(x,y) = (-4,-3) is the given point

Turn to slope-intercept form and use these values to find b

y = mx+b
-3 = 7(-4)+b ... plug in the given values
-3 = -28+b
-3+28 = -28+b+28
25 = b
b = 25

since we know that m = 7 and b = 25, the equation y = mx+b turns into y = 7x+25

The final answer is choice A