what is an equation that describes the line that passes through (2,2) and (0,-3)

Question

I need help with this and I under stand part of it.

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Answer 1

One way is to start with the general equation of a straight line:

 

y= mx + b

 

where m is the slope and b is the y intercept.

 

You can see right away what the y intercept is - from the point (0,-3), so the value of b will be -3, that is where the line crosses the y-axis. It helps to draw the line first by plotting the 2 points given.

 

Now, to compute the slope b, remember that slope for a straight line is:

 

(change in y) / (change in x)

 

for any 2 points. You can get this from the 2 points given.

 

When you get your final equation, check is with the 2 points provided.