Answer:
y=4/5x-2
Step-by-step explanation:
here are the given points: (5,2) and (10,6)
First, let's find the slope, which is found with the equation (y2-y1)/(x2-x1)
so let's label the points
x1=5
y1=2
x2=10
y2=6
now we can substitute into the equation
m=(6-2)/(10-5)
subtract
m=4/5
so that means the slope is 4/5
Now, let's use point slope form, which is y-y1=m(x-x1) (m is the slope)
so let's substitute the numbers we know from earlier into the equation
y-2=4/5(x-5)
do distributive prop.
y-2=4/5x-4
add 2 to both sides
y=4/5x-2
hope this helps!
