Respuesta :

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]y+6=\frac{3}{4}(x+4)[/tex]

This is the equation of the line into point slope form

The point is (-4,-6) and the slope m is [tex]m=\frac{3}{4}[/tex]

To identify the graph find the intercepts

The y-intercept is the point (0,-3) ----> value of y when the value of x is equal to zero

The x-intercept is the point (4,0) ----> value of x when the value of y is equal to zero

using a graphing tool

The graph in the attached figure

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The standard form of an equation in point-slope form is expressed as;

y - y0 = m(x-x0)

m is the slope of the line

(x0, y0) is the point on the line

Given the equation y+6=3/4(x+4)​, compared with the general formula, we can see that the slope is 3/4 and the point on the line is (-4, -6)

Next is to plot the equation of a line with the slope and passing through this point.

Learn more here: https://brainly.com/question/17003809

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Universidad de Mexico