Question

slope= 2; point on the line (-2,1) in slope intercept form I know y=m*x+b but all I know is 2 would be m

Answer 1

y=2x+5

1) Since we were told the slope is m=2, one point on the line (-2,1), and the slope-intercept form is:

`y=mx+b`

2) The next step is to find the value of "b", the y-intercept. So, let's pick that point, the slope, and plug them into the Slope-Intercept form:

`\begin{gathered} y=mx+b,m=2,(-2,1) \\ 1=2(-2)+b \\ 1=-4+b \\ 1+4=b \\ b=5 \end{gathered}`

3) Now that we know the y-intercept (b), we can write the function's rule as

`y=2x+5`