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A line is drawn through (-7, 11) and (8, -9). The equation
y-11 = - 4 (x + 7) is written to represent the line. Which
equations also represent the line? Check all that apply.
y=-=4x+ şi
3y=-4x + 40
4x + y = 21
4x + 3y = 5
0 -4x + 3y = 17

Answer :

calculista

Answer:

[tex]4x+3y=5[/tex]

[tex]y=-\frac{4}{3}x+\frac{5}{3}[/tex]

Step-by-step explanation:

we have the points

(-7, 11) and (8, -9)

Find the slope

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

substitute

[tex]m=\frac{-9-11}{8+7}[/tex]

[tex]m=-\frac{20}{15}[/tex]

Simplify

[tex]m=-\frac{4}{3}[/tex]

Write the equation in point slope form

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=-\frac{4}{3}[/tex]

[tex]point\ (-7, 11)[/tex]

substitute

[tex]y-11=-\frac{4}{3}(x+7)[/tex]

Convert to standard form

we have

[tex]y-11=-\frac{4}{3}(x+7)[/tex]

Multiply by 3 both sides

[tex]3y-33=-4x-28\\4x+3y=5[/tex]

Convert to slope intercept form

we have

[tex]y-11=-\frac{4}{3}(x+7)[/tex]

Isolate the variable y

[tex]y=-\frac{4}{3}x-\frac{28}{3}+11[/tex]

[tex]y=-\frac{4}{3}x+\frac{5}{3}[/tex]

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