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]