Respuesta :

Answer:

Step-by-step explanation:

Put the ordered pairs into the slope formula x=y2-y1/x2-x1 then you will get your slope of the line. once you have your slope pick an ordered pair and put it in point slope y-y1=m(x-x1) distribute and you will get your answer.

formula of a linear equasion:

y=mx+b

m=slope of the formula

to find m:

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

plug in: [tex]\frac{4-2}{0-7} =\frac{2}{-7}[/tex]

m= [tex]-\frac{2}{7}[/tex]

y=[tex]-\frac{2}{7}[/tex]x+b

b is the y intercept

plug in to find b:

[tex]2=7(-\frac{2}{7} )+b\\2=-2+b\\4=b[/tex]

∴ [tex]y=-\frac{2}{7} x+4[/tex]