You can put this solution on YOUR website!
Let's start with the "slope-intercept" form of a linear equation.
y = mx+b where m is the slope and b is the y-intercept.
We can calculate the slope, m, using the two given points (30,65) and (70,95) as follows:
The x's and the y's here are taken from the two points.
so now we can write...
To find the value of b, we'll use the x- and y-coordinates from either one of the two given points. Let's use (30,65).
Simplify the fraction.
Multiply everything by 2 to clear the fraction.
Subtract 45 from both sides.
divide both sides by 2.
Now we can write the final equation in slope-intercept form:
Let's see how that looks when graphed: