Question

What is the equation of the line in slope-intercept form? A y = x -8 B) y = x + 8 y = 8x - 8 = D) y = 8 + 8 Dy

Answer 1

y = x - 8

Step-by-step explanation

We are given the graph of the line.

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

The slope intercept form of a linear equation is given as:

y = mx + c

where m = slope

c = y intercept

We can find the y intercept by looking at where the graph touches the y axis.

From the graph:

c = -8

Now, to find the slope, we use the formula:

`m\text{ = }\frac{y2\text{ - y1}}{x2\text{ - x1}}`

where (x1, y1) and (x2, y2) are two points that fall on the line.

Let us pick the points:

(x1, y1) = (0, -8)

(x2, y2) = (8, 0)

Therefore:

`\begin{gathered} m\text{ = }\frac{0\text{ -(-8)}}{8\text{ - 0}}\text{ = }\frac{\text{0 + 8}}{8\text{ - 0}} \\ m\text{ = }(8)/(8) \\ m\text{ = 1} \end{gathered}`

Therefore, the equation of the line is:

y = x - 8