Question

What is the slope-intercept equationfor the following line?Enter the correctsymbol, + or -y = [?]mxx+ [

Answer 1

y = -(1/3)x + 1

Step-by-step explanation:

The slope-intercept equation of a line has the following form:

y = mx + b

Where m is the slope and b is the y-intercept.

To find the value of m, we will use the following equation:

`m=(y_2-y_1)/(x_2-x_1)`

Where (x1, y1) and (x2, y2) are the coordinates of two points in the line.

So, replacing (x1, y1) by (3, 0) and (x2, y2) by (0, 1), we get that the slope is:

`m=(1-0)/(0-3)=(1)/(-3)=-(1)/(3)`

On the other hand, the y-intercept is the point where the line crosses the y-axis. In this case, the line passes the y-axis at (0, 1), so the y-intercept is (0, 1).

Then, the value of b is 1.

Therefore, the equation of the line is:

y = -(1/3)x + 1

Because m = -1/3 and b = 1

So, the answer is:

y = -(1/3)x + 1