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Find the equation of the line

 

 Aug 4, 2020
 #1
avatar+732 
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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
avatar+169 
+1

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

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