Question

Which equation best represents the relationship between X and Y in the graph?

A- y = - 3/4x - 3
B- y = - 4/3x - 3
C- y = - 3/4x - 4
D- y = - 4/3x - 4

Answer 1

Answer is A. y = - 3/4x -3

Step by step

To write the equation of this graph, we know the equation is y = mx + b
We need to find
m = slope
b = y intercept

To find slope, find two x,y coordinates and use slope formula y2 - y1 over x2 - x1

( 0, -3) and ( -4, 0 )

0 - -3 over -4 -0
- 3/4 is our slope

y intercept is where the line crosses the y axis, which is -3

So our equation y = mx + b

y = - 3/4x -3 is our equation

Answer 2

A) y =
`(-3)/(4) x` - 3

Explanation:

You need two things to write the equation. You need the slope and the y intercept.

The slope is -3/4. If you start at the point (-4,0) and to go the point (0,-3) and you can only move up, down, right or left, you would go down 3 spaces and right 4 spaces. Down is negative and right is positive.

The y-intercept is -3. this is where the graph crosses the y axis. It crosses at point (0,-3). -3 is the slope

y = mx + b Substitute -3/4 for m and -3 for b

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

Helping in the name of Jesus.