Question

Write an equation that goes through the points (0,1) and (4,4)

Answer 1

do you know the formula to findinga slope?

Answer 2

\[\frac{ y2-y1 }{ x2-x1 }\]

Answer 3

\[Slope (m)= \frac{ y2-y1 }{ x2-x1}\]
\[= \frac{ 4-1 }{ 4-0 }\]
\[= \frac{ 3 }{ 4 }\]

Pick one of the coordinates and substitute into y=mx+b to find "b"
y=mx+b
\[4=\frac{ 3 }{ 4 }(4)+b\]
\[4=3+b\]
\[b= 4- 3\]

\[b= 1\]

Now the equation is \[y=\frac{ 3 }{ 4 }x+1\]