Unit 5, Day 6: Students will be able to write an equation of a line given data points

Objective: Students will be able to write an equation of a line given data points

The formula to find the slope is y2-y1/x2-x1

So if you have 2 points like (2,6) and (4,10), then you subtract 6 from 10 to get 4. You also subtract 2 from 4 to get 2. So now your slope is 6/2 which also equals 3. So now that you know the slope is 3, use the closest point to the y-axis and put it into the equation y-y1=m(x-x1). In this case you would want to use the point (2,6). So now your equation to find the y-intercept will look like y-6=m(x-2). Since m=3, put it into the equation to equal y-6=3(x-2). Keep simplifying it until you get it to look like y=3x. Put this into the point so it should look like 6=3(2). So the equation to these 2 points is y=3x.

Questions: 

1.) Find the slope out of these 2 points: (6,14) (-3,-12)

2.) Find the y-intercept using one of the slope on one of the points

3.) Graph the equation

Answers: 

1.) Slope = -2.9

2.) Equation = y=-2.9x-3.3 

3.) 

TIPS FROM THE PROS