Answer:
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
Step-by-step explanation:
The slope-intercept form of the line equation
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
-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