Question

Which of the following equations are represented by the graph? I. y = - 3/2x - 2II. 2x - 3y = 6III. y - 2 = 2/3xIV. y - 2 = 2/3(x - 6)A. II and IIIB. I and IIIC. II, III, and IVD. II and IV

Answer 1

By looking at the graph we can see that the line crosses the y-axis at y=-2

Y-intercept(b) =-2

If we move from left to right along the x-axis we can see that for every 3 units to the right, we go up 2 units:

slope = (m) = rise / run = 2/3

So, the equation in slope-intercept form:

y=mx+b

y= 2/3x-2

Standard form

I cannot be.

ii = is in standard form

2x - 3y = 6

Solve for y:

-3y= -2x+6

y= (-2x+6)/-3

y= 2/3x-2

II is represented in the graph.

III. Cannot be

IV. y-2= 2/3(x-6)

Solve for y:

y-2 = 2/3x-4

y= 2/3x-4+2

y=2/3x-2

IV is represented in the graph

Correct option D. II and IV