7
QuizMultiple Choice

Linear Systems of Equations — Test

Question 7 • Mathematics 8

Dominique needs to solve the system of equations by graphing. Which statement is true about the system? 2 x minus 3 y is equal to 12 y is equal to negative 3 fifths x plus 2

Answer
A
The first equation is y is equal to 2 thirds x minus 4 when written in slope-intercept form.
B
The second equation is 3 x plus 5 y is equal to 10 when written in slope-intercept form.
C
Neither equation is in slope-intercept form.
D
Both equations are in slope-intercept form.

Explanation

Rewrite the first equation, 2x − 3y = 12, to isolate y: −3y = 12 − 2x, so y = (2/3)x − 4. This is slope-intercept form, y = mx + b. The second equation is already in that form: y = −(3/5)x + 2, so A is the true statement.

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