Question

Which graphed matches the equation ?

Answer 1

A

Explanation:

Answer 2

The first graph is the appropriate graph for the given equation.

The graph is attached below.

Explanation:

Given,

`y+6= (3)/(4)(x+4)`

This represents the equation of a straight line of the form

`y-y1 = m(x-x1)`

Where
`m` is slope and
`(x1,y1)` is one of the point on the graph through which the line crosses.

On comparing the given equation with the original form we deduce that

`(-4,-6)` is one of the point.

And
`(3)/(4)` is the slope, which is positive. A positive slope represents a line inclined to the right side.

Let us observe all the graphs now!

We deduce that first graph is the appropriate graph for the given equation.