Question

Find the equation of the line with the points (1,4) (2,5) and y-intercept of -2please show work

Answer 1

Given data:

The given points are (1,4) and (2,5) .

The given y-intercept is c=-2.

The equation of the slope of the line is,

`\begin{gathered} m=(5-4)/(2-1) \\ =1 \end{gathered}`

The equation of the line is,

`y=mx+c`

Substitute 1 for m, and -2 for c in the above equation.

`\begin{gathered} y=1(x)-2 \\ =x-2 \end{gathered}`

Thus, the equation of the line is y=x-2.