Question

Which equations best describes the graph of a line that has a slope of - 1/2 and passes through the point (2,-3)? O y = 2x +4 O 2x +y=24 Ov--x-4 O y = x + 2​

Answer 1

The equation which best describes the graph of a line that has a slope of - 1/2 and passes through the point (2,-3) will be:

• y = -1/2x - 2

Explanation:

The slope-intercept form of the line equation

`y = mx+b`

where

• m is the slope

• b is the y-intercept

In our case, we are given

The slope m = -1/2

Point (2, -3)

now substituting m = -1/2 and (2, -3) in the slope-intercept form of the line equation to determine the y-intercept

`y = mx+b`

-3 = -1/2(2) + b

-3 = -1 + b

b = -3 + 1

b = -2

now substituting m = -1/2 and b = -2 in the slope-intercept form of the line equation

y = mx + b

y = -1/2x + (-2)

y = -1/2x - 2

Therefore, the equation which best describes the graph of a line that has a slope of - 1/2 and passes through the point (2,-3) will be:

• y = -1/2x - 2