Answer:
The slope of the line will be 2, the y-intercept will be 8, and the equation will be y=2x+8
Step-by-step explanation:
To find your slope use the formula: y2-y1/x2-x1, when you plug in 2 sets of data, (for the example I will use (10,28) and (2,12)) you will get 28-12/10-2 when you reduce it, you will be left with 16/8 which is equal to 2.
This is the slope of the line, to find the intercept and the equation of the line, use the formula: y=ax+b, where "a" is your slope, and "b" is your intercept.
Since we know the slope, we can plug that into the equation and then choose a data point to calculate your intercept (I will use (10,28)).
so you will have y=2x+b, when you plug int (10,28) you will get 28=2(10)+b
when you solve you will find that b=8.
Now you have your slope and your intercept so your equation will be y=2x+8
