What is the equation of a line that has a slope of –1/2 and contains the point (8, 1)? Express the equation in slope-intercept form, y = mx + b.
A- y= -1/2x+5
B- y= -1/2x+4
C- y= -1/2x+8 1/2
D- y= -1/2x-5

Option A: is the equation of the line.

Explanation:

It is given that the equation has a slope is

It also contains the point

We need to find the equation of line in slope - intercept form.

First, we shall determine the value of y - intercept(b).

Let us substitute the slope and the point in the slope - intercept form , we get,

Simplifying, we have,

Adding both sides of the equation by 4, we have,

Thus, the y - intercept is

Now, substituting the slope and the y - intercept in the slope - intercept form , we get,

Thus, the equation of the line is

Hence, Option A is the correct answer.

4

step-by-step explanation: