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Gennadij [26K]
3 years ago
6

Here's a graph of a linear function. Write the equation that describes that function. (Express it in slope-intercept form.)

Mathematics
1 answer:
rusak2 [61]3 years ago
5 0

Answer:

y=\frac{1}{2}x+4

Step-by-step explanation:

The equation of a linear function in a slope-intercept form is written as

y=mx+q

where

m is the slope of the line

q is the y-intercept

We proceed as follows. First of all, we find the y-intercept, which is the value of y at which the line touches the y-axis.

From the graph, we see that this occurs at y = 4, therefore the y-intercept is

q=4

Now we have to find the slope. We do that by choosing two points along the line, with coordinates (x_1,y_1) and (x_2,y_2) and by using the equation

m=\frac{y_2-y_1}{x_2-x_1}

Here we take the two points:

(0,4)

(-8,0)

So the slope is

m=\frac{4-0}{0-(-8)}=\frac{1}{2}

Therefore, the equation of the line is

y=\frac{1}{2}x+4

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