math algebra 1 y=mx+b

Question

two equations that would have a solution of (3, 6).

Answer 1

Two equations which would have a solution of (3,6).

There are an infinite number of lines which could pass through this point.

For fun - let’s assume that these lines are perpendicular. The product of their slopes would therefore be -1. Furthermore, let the first line’s slope be 2 so:

m₁ = 2

m₁ * m₂ = -1

m₂ =-( 1) / m₁

m₂ = -1/2

Using the slope intercept form of the line substitute the point’s coordinates and the line’s slope and solve for b, the y-intercept. Then write the equations of the lines.

Therefore, the equations in slope intercept form would be:

(1) y = 2x

(2) y = (-1/2)x + 15/2

Answer 2

y = x + 3 and y = -2x + 12

For each equation, when x = 3, y = 6.