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Help pls and thank you :)

Help pls and thank you :)-example-1
User Playnox
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3 votes

Answer:


y=(-2)/(3) x+1

Explanation:

Linear equations are typically organized in slope-intercept form:
y=mx+b. Here's what the variables mean:

y = the y-coordinate

m = the slope

x = the x=coordinate

b = the y-intercept (what y is equal to when the line crosses the y-axis)

First, we need to calculate the slope of the line (m). The slope is the
(rise)/(run) of the line, or in other words, the change in y over the change in x. We can find this by just looking at the graph, between the two given points. For 3 spaces the line travels to the right, it travels downward 2 spaces. Therefore, the slope of the line is
(-2)/(3).

We can also calculate this using the formula
(y_2-y_1)/(x_2-x_1) by using two points that fall on the line,
(x_1,y_1) and
(x_2,y_2). Here, we can use the points (-3,3) and (0,1).


(y_2-y_1)/(x_2-x_1)\\(1-3)/(0-(-3))

Two negatives make a positive


=(1-3)/(0+3)\\=(-2)/(3)

Then, we need to find the y-intercept of the line (b). We can find this by, again, looking at the graph. The line crosses the y-axis when y is equal to 1, so the y-intercept of the line is 1.

Now, we plug our calculated values back into the original equation:


y=mx+b\\y=(-2)/(3) x+1

I hope this helps!

User Isaac Bosca
by
7.8k points

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