Respuesta :

Answer:

Part 1) The equation in slope intercept form is [tex]y=4x-8[/tex]

Step-by-step explanation:

Part 1) Write an equation in slope-intercept form for a line that passes through (3,4) (and has a y intercept of -8)

we know that

The equation of a line in slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-intercept

we have

[tex]b=-8[/tex]

[tex]point\ (3,4)[/tex]

substitute

[tex]4=m(3)-8[/tex]

solve for m

[tex]4+8=3m[/tex]

[tex]3m=12[/tex]

[tex]m=4[/tex]

therefore

[tex]y=4x-8[/tex]

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