Answer:
[tex]y=\frac{5}{6}x+2\frac{2}{3}[/tex]
Step-by-step explanation:
From the point (-2,1) to the point (4,6)
there is a [tex]\frac{rise}{run}[/tex] of [tex]\frac{5}{6}[/tex], or a slope of [tex]\frac{5}{6}[/tex]
[tex]rise=[/tex] the change in y
[tex]run=[/tex] the change in x
To get the y-intercept we just have to use the formula: [tex]b=y-mx[/tex]
[tex]b=[/tex] y-intercept
[tex](x,y)=[/tex] point on the line
[tex]m=[/tex] slope
[tex]b=1-(\frac{5}{6})(-2)[/tex]
[tex]b=1+\frac{5}{3}[/tex]
[tex]b=2\frac{2}{3}[/tex]
So the equation of the line is: [tex]y=\frac{5}{6}x+2\frac{2}{3}[/tex]
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