Question

Help me pls!!!

which equation matches the graph?

Answer 1

The equation that matches the graph is 4x + 3y = -24 (option D)

To determine the correct option, we would find the equation of the line.

Equation of line: y = mx + c

m = slope, c = y-intercept

Using the slope formula:

`m (y2 - y1)/(x2 - x1)`

We would use any two points on the graph.

Using points: (-6, 0) and (0, -8)

`x_(1) = - 6 \\ y_(1) = 0\\ x_(2) = 0 \\ y_(2) = - 8`

m = -8 -0 / 0 - (-6)

`m = - 8/(0 + 6) = - 8/6 = - 4/3`

The y intercept is the point where the line crosses the y axis and the value of x is zero. It crosses the line at y = -8

The equation of line becomes:

y = -4/3 x + (-8)

y = -4/3x - 8

Multiply both sides by 3:

3(y) = 3(-4/3 x) - 3(8)

3y = -4x - 24

3y + 4x = -24

4x + 3y = -24 (option D)

Complete question:

Which equation matches the graph?

A. 2x + 6y= -8

B. -2x +6y=-8

C. 3x + 4y=-12

D. 4x + 3y= -24​