Question

Choose the equation that represents the line that passes through the point (6,-3) and has a slope of 2.

a) y=2x+6
b) y=kx−6
c) y=kx−3
d) y=x+3

Answer 1

The equation that represents the line passing through the point (6, -3) and with a slope of 2 is y = 2x + 6.

Step-by-step explanation:

The equation that represents the line passing through the point (6, -3) and with a slope of 2 is option a) y = 2x + 6.

To determine the equation, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1). Plug in the values, with the coordinates being (x1, y1) = (6, -3), and the slope (m) = 2. Simplifying the equation gives us y + 3 = 2(x - 6). Solving for y, we get the equation y = 2x + 6, which matches option a).