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: $y=\frac{3}{2}x+3$

Step-by-step 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:

$-3=m(-2)\\\\\frac{-3}{-2}=m\\\\m=\frac{3}{2}$

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

$y=\frac{3}{2}x+3$