Question

When do these 2 lines intersect y = 3x-3, y = 2.3x+4

Answer 1

(10,27)

Explanation:

Plot the first point of the first line by plotting the y-intercept of -3, and using the slope of 3 to plot the rest of the points needed (up 3, over 1).

Plot the first point of the second line by plotting the y-intercept of 4, and using the slope of 2.3 (23/10) to plot the rest of the points needed (up 23, over 10).

After a while of graphing, you will then find that the point of location in which these two lines intersect is (10,27).

Hope this helps :) Thanks!

Answer 2

Set the equations to equal each other:

3x-3 = 2.3x+ 4

Solve:

Subtract 2.3x from both sides

0.7x -3 = 4

Add 3 to both sides:

0.7x = 7

Divide both sides by 0.7

X =10

Solve for y:

Y = 3(10) -3

Y = 30-3

Y=27

The lines cross at (10,27)