Question

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

equation that describes that function.
xpress it in slope-intercept form.

Answer 1

the slope intercept form is y = (1/2)x - 1

Explanation:

The slope-intercept form is, y = mx + b

We see from looking at the graph that,

at x = 0, y = -1

So, from this we find that b = -1

at x = 2, y = 0,

now, we find the slope m,

using,

`m = (y_(2) -y_1)/(x_2-x_1)`

Using x_2 = 2, y_2 = 0,

x_1 = 0, y_1 = -1, we get,

m = (0-(-1))/(2-0)

m = 1/2

So, the slope intercept form is,

y = (1/2)x - 1