Question

Which equation below describes the line passing through the point (5. 3) with a slope of 2? A. y = 2x + 3 B. y = 5x + 3 C. y = 2x + 7 D. y = 2x - 7

Answer 1

D. y = 2x - 7

Step-by-step explanation

To identify the equation, we have to actually find the equation of the line passing through (5, 3) and with a slope of 2.

We will use the point-slope formula:

y - y1 = m(x - x1)

where m = slope

(x1, y1) = point through which the line passes

So, we have:

y - 3 = 2(x - 5)

y - 3 = 2x - 10

y = 2x - 10 + 3

y = 2x - 7

So, the correct option is D.