Question

Y = -2 x + 5 y = -2 x + 3 What do the equations have in common? How are they different?

Answer 1

They both have the same slope, both negative slopes/negative correlation, positive y-intercepts

Different: different y intercept value,

Answer 2

The equations have common slope.

The equations have different y-intercept.

Explanation:

Given : Equation
`y=-2x+5` and
`y=-2x+3`

To find : What do the equations have in common? How are they different?

Solution :

The general form of equation is
`y=mx+c`

where, m is the slope and c is the y-intercept.

If we compare the given equations

In
`y=-2x+5` slope is -2 and y-intercept is 5.

In
`y=-2x+3` slope is -2 and y-intercept is 3.

The equations have common slope.

The equations have different y-intercept.