Answer:
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.)
