Question

Graph the lines y=4*+2 and y=-x+7 on the graph below then find their point of intersection and record the solution

Answer 1

The point of intersection of these two equation is 1 , 6

Explanation:

Given as :

The two equation of line are

y = 4 x + 2 ........1

y = - x + 7 ........2

Let The point of intersection of these two equation = p (
`x_1 , y_1` )

Now, solving the equation 1 and 2

So, 4 x + 2 = - x + 7

Or, 4 x + x = 7 - 2

Or, 5 x = 5

∴ x =
`(5)/(5)`

i.e x = 1

Again

put the value of x in eq 2 , we get

∵ y = - x + 7

Or, y = - 1 + 7

Or, y = 6

so, The point of intersection of these two equation = p (
`x_1 , y_1` ) = 1 , 6

Hence. The point of intersection of these two equation is 1 , 6 Answer