a line goes through points (0,2) and (1,1). what is the x coordinate of the intersection of this line with the line y=3x+3

x = -1/4

Step-by-step explanation:

Find the equation of the line that passes through points (0, 2) and (1, 1). (Slope)

m = (1 - 2) / (1 - 0) = -1

The equation of the line in slope intercept form is

y = mx + b

We have

m = -1

b = 2 (The y-intercept is given)

Substitute

y = -x + 2 (Equation A)

Now solve the system of equations

y = -x + 2 (Equation A)

y = 3x + 3 (Equation B)

Solve the system by substitution, equate equation A and equation B

3x + 3 = -x + 2

Solve for x

3x + x = 2 - 3

4x = -1

x = -1/4

Therefore, the x-coordinate of the intersection both lines is 1/4

(Kinda copied an answer, but this seems right. Hopefully.)

2

step-by-step explanation:

1+1=2