What is the slope-intercept form for each equation in this system? Compare the slopes and y-intercepts to describe the graph of the system. 3x - 4y = 28 4x + 10y = 20 A) y = 3 4 x − 7; y = −2 5 x + 2; one line B) y = - 3 4 x − 7; y = −2 5 x + 2; parallel lines Eliminate C) y = 3 4 x − 7; y = 2 5 x + 2; intersecting lines D) y = 3 4 x − 7; y = −2 5 x + 2; intersecting lines
Accepted Solution
A:
3x - 4y = 28 4x + 10y = 20 First we rewrite the system of equations: Equation 1: 3x - 4y = 28 3x - 28 = 4y (3/4) x - 7 = y Equation 2: 4x + 10y = 20 10y = 20 - 4x y = 2 - (2/5) x We have then: y = (3/4) x - 7 y = - (2/5) x + 2 One line has a positive slope and the other line has a negative slope. Thus, both lines are connected.
Answer: D) y = 3/4 x - 7; y = -2/5 x + 2; intersecting lines