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# i need help!

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Find the equation of the line

Aug 4, 2020

### 2+0 Answers

#1
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hi guest!

we can start off by finding the y-coordinate which is (0,3),so that means that b=3.

next we can find the slope by using $$\dfrac{y_2-y_1}{x_2-x_1}$$, and we can use (-1,0) and (0,3).

This would equal $$\dfrac{3-0}{0-(-1)}=\dfrac{3}{1}=3$$.

so the answer is $$\boxed{y=3x+3}.$$

Aug 4, 2020
#2
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Hmm

Khan Academy stuff I see

Although someone has given you the answer already, you shouldn't go right to that. Let's work through this.

The equation for a line is $$y=mx+b$$, where $$m$$ is the slope and $$b$$ is the y-intercept.

Here, we see that $$3$$ is obviously the intercept, but what is the slope? Well, to find it, we can get a set of clean points, and then apply the formula $$slope=\frac{\text{change in y}}{\text{change in x}}$$. Here, we see that for every $$1$$ unit across, it goes $$3$$ units upwards. Using our formula, we get $$\frac{3}{1}=3$$ as our slope, so our answer is $$\boxed{y=3x+3}$$

Aug 4, 2020