Question

PLEASE HELP ASAP!!!! Choose the equation below that represents the line passing through the point (2, -4) with a slope of one half. y = one halfx + 5 y = one halfx − 3 y = one halfx − 5 y = one halfx + 3

Answer 1

Answer:

Using Slope-intercept Form:

The equation is written as y = mx + b, the slope is the number m that is multiplied on the x, and b is the y-intercept.

Given: the slope(m)=$\frac{1}{2}$

Now, substitute the slope into the equation of the line y = mx + b i.e,

$y=\frac{1}{2}x+b$.                   ......[1]

Also, substitute the given point (2,-4) into the x and y value in equation[1] as;

$-4=\frac{1}{2}(2)+b$ or

-4=1+b

Simplify:

(y-intercept) b=-5.

Substitute this value for b in equation [1];

$y=\frac{1}{2}x+(-5)$ or

$y=\frac{1}{2}x-5$.

Therefore, the equation $y=\frac{1}{2}x-5$ represents the line passing through the point (2,-4) with slope of one half.