Question

Which is an equation for the line shown on the graph below? A. Y=1/2x+3 B. Y=1/2x-2 C. Y=2/3x+3. D. Y=2/3x-2

Answer 1

Answer:
`y=(3)/(2)x+3`

Explanation:

The Slope-Intercept form of the equation of the line is:

`y=mx+b`

Where "m" is the slope and "b" is the y-intercept.

You can identify in the graph attacched that the y-intercept of this line is:

`b=3`

Now, choose a point on the line, substitute the value of "b" and the coordinates of the point you chose, into the equation
`y=mx+b`. Choosing the point
`(-2,0)`:

`0=m(-2)+3`

You must solve for "m" in order to find the slope of the line:

`-3=m(-2)\\\\(-3)/(-2)=m\\\\m=(3)/(2)`

Therefore, the equation of that line in Slope-Intercept form, is:

`y=(3)/(2)x+3`