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 y2−y1x2−x1, and we can use (-1,0) and (0,3).
This would equal 3−00−(−1)=31=3.
so the answer is y=3x+3.
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=change in ychange in x. Here, we see that for every 1 unit across, it goes 3 units upwards. Using our formula, we get 31=3 as our slope, so our answer is y=3x+3