How to calculate the point of intersection of the graphs of two linear formulas

You can also find the point of intersection by putting the two linear formulas equal to each other to make an equation.

Solve the eqaution to find the x-vale of the point of intersection.

e.g. with formulas y= 1.5x + 5 and y = -x + 15

you get equation 1.5x + 5 = -x + 15

add 1x to both sides gives 2.5x + 5 = 15

subtract 5 from both sides gives 2.5x = 10 so x = 4

Now fill x= 4 into one of the formulas to calculate y

y = 1.5 x 4 + 5 = 6 + 5 = 11

so coordinates of point of intersection are (4,11)

You can check by filling x=4 into other formula y = -4 + 15 = 11 which gives same answer