Which graph matches the equation y+6=3/4(x+4)

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.

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The graph in the attached figure

Step-by-step explanation:

we have

This is the equation of the line into point slope form

The point is (-4,-6) and the slope m is

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

answer:

step-by-step explanation:

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.