Question

Dominique needs to solve the system of equations by graphing. Which statement is true about the system?

Option A: Both equations are in slope-intercept form.
Option B: Neither equation is in slope-intercept form.
Option C: The first equation is y = two-thirds x minus 4 when written in slope-intercept form.
Option D: The second equation is 3x + 5y = 10 when written in slope-intercept form.

Answer 1

The correct statement about the system of equations is that neither equation is in slope-intercept form.

Step-by-step explanation:

To determine which statement is true about the system of equations, let's analyze each option:

• Option A: A linear equation is in slope-intercept form when it is written as y = mx + b. Neither equation in the given system matches this form, so Option A is false.
• Option B: Since neither equation is in slope-intercept form, Option B is true.
• Option C: The first equation is y = -3x + 4 when rearranged in slope-intercept form. The given statement does not match this equation, so Option C is false.
• Option D: The second equation, 3x + 5y = 10, is not in slope-intercept form. So, Option D is also false.

Based on our analysis, the correct answer is Option B: Neither equation is in slope-intercept form.