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.

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.

step-by-step explanation:

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