Question

What is the equation of the following line written in slope-intercept form?
A. y = 3/2x - 13/3
B. y = 2/3x - 13/3
C. y = -2/3x - 13/3

Answer 1

Hey there!

The answer is C in this case.

Hope this was of help, have a great day :)

Answer 2

Answer with Step-by-step explanation:

As we can see from the graph the line passes through (-5,-1)

Hence, the equation must satisfy that when x= -5,y= -1

A. y = 3/2x - 13/3

Putting x= -5

$y=\dfrac{3}{2}\times (-5)-\dfrac{13}{3}\\ \\y=-\dfrac{15}{2}-\dfrac{13}{3}\\ \\y=-\dfrac{71}{6}$

y≠ -1

B. y = 2/3x - 13/3

Putting x= -5

$y=\dfrac{2}{3}\times (-5)-\dfrac{13}{3}\\ \\y=-\dfrac{10}{3}-\dfrac{13}{3}\\ \\y=-\dfrac{23}{3}$

y≠ -1

C. y = -2/3x - 13/3

Putting x= -5

$y=-\dfrac{2}{3}\times (-5)-\dfrac{13}{3}\\ \\y=\dfrac{10}{3}-\dfrac{13}{3}\\ \\y=-\dfrac{3}{3}$

y= -1

Hence, The equation of the following line written in slope-intercept form is:

C. y = -2/3x - 13/3