Determine the equation of the line.
-
A) y = -2x + 3
B) y = 2x
C) y = 2x + 3

Question

Determine the equation of the line.
-
A) y = -2x + 3 
B) y = 2x 
C) y = 2x + 3

Quizplus · Accepted Answer

The line passes through the point (0,3) and (-1,1). Using the point-slope formula, we can find the slope of the line:

m = (y2-y1)/(x2-x1) = (1-3)/(-1-0) = 2

Now that we have the slope and a known point, we can use the point-slope formula again to find the equation of the line:

y - y1 = m(x - x1)

Plugging in (0,3) as the point and 2 as the slope gives us:

y - 3 = 2(x - 0)

Simplifying gives us:

y = 2x + 3, which matches choice C. The line passes through the y-intercept (0,3) and has a slope of 2, making the equation y = 2x + 3.

Determine the Equation of the Line