Subsitution
solve for y in first equation
add 2x to both sides
y=2x+8
sub 2x+8 for y in second equation
16+4x=2(2x+8)
divide both sides by 2
8+2x=2x+8
true
there are infinite solutions for x
therefor infinite soltions for y
there are an infinite number of solutions
Slope of the line is -3/2
Step-by-step explanation:
- Step 1: Given that (-2, 4) is a point on the line y = mx + 1, find slope m.
Since the point is on the line, the coordinates will satisfy the equation.
⇒ 4 = m × -2 + 1
⇒ 4 = -2m + 1
⇒ 3 = -2m
∴ m = -3/2
