Question

What is the slope of the line

described by 2x + 3y = 4?

A. 2/3
B. -2/3
C. 3/2
D. 2
E. 3

Answer 1

B. -2/3

Explanation:

`2x + 3y = 4?\\\mathrm{Slope}\:\mathbf{m}\:\mathrm{of\:a\:line\:of\:the\:form}\:\mathbf{Ax+By=C}\:\mathrm{equals}\:\mathbf{-(A)/(B)}\\\mathbf{A}=2,\:\mathbf{B}=3\\m=-(2)/(3)`

Answer 2

Answer: B) -2/3

Explanation:

First turn this equation into slope-intercept form(y = mx + b), where m is the slope.

2x+3y=4

3y=-2x+4

y=-2/3x+4/3

Thus, the slope is -2/3

Hope it helps <3