Question

Choose the equation below that represents the line passing through the point (2, -4) with a slope of(1 point)Oy=kx-3Oy -x+5Oy-1x+3Oy=1x-5

Answer 1

The equation of a line in slope-intercept form can be written like this:

y = mx + b

Where m is the slope and b is the y-intercept of the line.

In this case, the slope of the line is 1/2, then we can rewrite the above equation like this:

y = (1/2)x + b

We are also told that this line passes through (2, -4), by replacing 2 for x and -4 for y into the above equation, we can solve for the value of b, like this:

-4 = 2(1/2) + b

-4 = 1 + b

-4 - 1 = 1 - 1 + b

-5 = b

b = -5

Then, we can rewrite the equation of the line, like this:

y = (1/2)x - 5

Then, the last option is the correct answer