Question

Here's a graph of a linear function. Write the

equation that describes that function.
8
Express it in slope-intercept form.
6
Enter the correct answer
4
2.
OOO
DONE
Claus all
DOO
-8
-6
-4
GO
2
2
-2
6
8
-4
-8

Answer 1

The equation of the line is: y = 2/3 x + 2 .

The slope of the line is positive, so the equation will look like y = mx + b with a positive m.

The y-intercept is the point where the line crosses the y-axis, which is (0, 2). So, the equation of the line is:

y = mx + 2

To find m, we can use the slope formula:

m = (y2 - y1) / (x2 - x1)

Let's choose two points on the line to plug into the formula: (2, 4) and (8, 8).

m = (8 - 4) / (8 - 2)

m = 4 / 6

m = 2/3

So, the equation of the line is:

y = 2/3 x + 2

In slope-intercept form, the equation is:

y = 2/3 x + 2

Therefore, the correct answer is y = 2/3 x + 2.

Answer 2

y = ⅓x - 3

Explanation:

First, find the slope using two points on the line, say (0, -3) and (6, 0):

`(y_2 - y_1)/(x_2 - x_1) = (0 - (-3))/(6 - 0) = (3)/(6) = (1)/(3)`

Slope (m) = ⅓

Find the y-intercept (b):

The line intercepts the y-axis at y = -3. So b = -3

Next, substitute m = ⅓ and b = -3 into y = mx + b (slope-intercept form):

y = ⅓(x) + (-3)

y = ⅓x - 3