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Answer:

The correct equation (in slope intercept form) is [tex]y=-4x+8[/tex]

       

The equation of the line through the points (-3, 4) and (5, 4) is y=4.

What is the equation of a line?

The standard form of the line is;

[tex]\rm y=mx+c[/tex]

The slope of the line is;

[tex]\rm m=\dfrac{x_2-x_1}{y_2-y_2}\\\\m =\dfrac{5-(-3)}{4-4}\\\\m =\dfrac{8}{0}\\\\m=0[/tex]

The equation of the line through the points (-3, 4) and (5, 4) is;

[tex]\rm y-y_1=m(x-x_1)\\\\y-4=0(x-(-3))\\\\y-4=0\\\\y=4[/tex]

Hence, the equation of the line through the points (-3, 4) and (5, 4) is y=4.

Learn more about the equation of line here;

https://brainly.com/question/15219867

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