Graph of what equation is represented on the figure?
A) $3 x + 5 y = 10$
B) $- 3 x - 5 y = 10$
C) $3 x - 5 y = 10$

Question

Graph of what equation is represented on the figure? 
A) $3 x + 5 y = 10$ 
B) $- 3 x - 5 y = 10$ 
C) $3 x - 5 y = 10$

Quizplus · Accepted Answer

The graph shows a line passing through the points (0,-2) and (10,4). Using these coordinates, we can find the slope of the line:

slope = (4 - (-2)) / (10 - 0) = 6/10 = 3/5

Now, we can use the point-slope form of a line to find the equation:

y - y1 = m(x - x1)

Using the point (0,-2) and the slope 3/5:

y - (-2) = (3/5)(x - 0)

y + 2 = 3/5 x

Subtracting 2 from both sides and multiplying through by -5, we get

-5y - 10 = -3x

3x - 5y = 10

Therefore, the equation represented by the graph is 3x - 5y = 10, which corresponds to choice C.

Graph of What Equation Is Represented on the Figure 3x+5y=103 x + 5 y = 103x+5y=10