Question

Which is the graph of the equation y−2=0.5(x+3)?

Answer 1

Explanation:

The given equation is y - 2 = 0.5(x + 3)

Since the equation is of a straight line so we further rewrite the equation in the form of intercept form.

y - 2 = 0.5x + 1.5

y = 0.5x + 1.5 + 2

y = 0.5x + 3.5

Now plot the graph for the points suitable for the equation

x 0 2 -2 4 -4

y 3.5 4.5 2.5 5.5 1.5

Now the graph which matches the graph plotted will be the graph of the equation.

Answer 2

Explanation:

First put the point slope form equation into slope intercept form.

y−2=0.5(x+3)

y - 2 = .5x + 1.5

y - 2 + 2 = .5x + 1.5 + 2

y = .5x + 3.5

With it in the slope intercept form we can see that the y intercept is at (0,3.5)

Find a graph that has this as the y intercept. Next we can graph it like the picture I have attached. You graph the equation by inserting numbers for x.