Write the equation of the line that passes through the following points: (3, 4) (4, 6)
Let's first calculate the slope, which is taken by dividing the change in y by the change of x.
6-4=2
4-3=1
The slope is 2.
Now that we know the slope is 2, we can plug in two coordinates to solve for the y-intercept, represented as b.
Let's pick (3,4).
So, y=2x+b
4=6+b
-2=b
The equation is 2x-2
Check: 4=(2*3)-2
Let's first calculate the slope, which is taken by dividing the change in y by the change of x.
6-4=2
4-3=1
The slope is 2.
Now that we know the slope is 2, we can plug in two coordinates to solve for the y-intercept, represented as b.
Let's pick (3,4).
So, y=2x+b
4=6+b
-2=b
The equation is 2x-2
Check: 4=(2*3)-2