Express each equation in slope-intercept form. Without graphing the equations, state whether the system of equations
has exactly one solution, no solution, or an infinite number of solutions.
-4x - 2y = -18 x = -4y
A) infinite number of solutions
B) one solution
C) no solution

Question

Quizplus · Accepted Answer

To express the given equations in slope-intercept form (y = mx + b), we first solve each equation for y.1. For the first equation, 4x - 2y = -18, we solve for y:   -2y = -4x - 18   y = 2x + 92. For the second equation, x = -4y, we solve for y:   y = -1/4xNow, we have the two equations in slope-intercept form:y = 2x + 9 and y = -1/4x.Since the slopes of the two lines (2 and -1/4) are different, the lines are not parallel and will intersect at exactly one point. Therefore, the system of equations has exactly one solution.

Express Each Equation in Slope-Intercept Form