Question

Fan + Medal (If I already Fanned Ya Then Testimonial). Picture + Problem Below:

Which Equation represents the graph?

https://gyazo.com/7e0ff795798f1d81965f15281e9080ba

A. y + 3 = -1/2 (x - 1)

B. y - 3 = -1/2 (x+1)

C. y = 1/2 x + 5

D. y -3 = 1/2 (x+1)

https://gyazo.com/7e0ff795798f1d81965f15281e9080ba

@TrojanPoem

Answer 1

The equations are in slope form

y_{2} - y_{1} = slope [ x_{2} - x_{1} ]

You have the points (x,y)

(-1,3)

y- 3 / x+1 = slope

From the figure the slope is -ve

Your choice is correct.

Answer 2

Oh Ok I see what you did there on the third line and down with the Slope Form. @TrojanPoem Thank you! :)

Answer 3

Any time.

Answer 4

I'd like to suggest that you not offer Fan / Medal / Testimonial to get someone to help you. Those best qualified to help are more likely than not not to be swayed by such offers

I agree with TrojanPoem's finding the slope of this line as a first step. Have you done that yourself? His y_{2} - y_{1} = slope [ x_{2} - x_{1} ] is correct, but I think you'd be better off calculating the slope from the equation slope = (y_2 - y_1) / (x_2 - x_1).

Once you have the slope, the rest of the solution is straightforward. You might use the slope-intercept form y=mx+b, where m is the slope you've just calculated (it's -1/2). As TrojanPoem has pointed out, one point on the line is (-1,3), so here x=-1 and y=3. Substituting these values into y=(-1/2)x + b will give you b, the "y-intercept."