Question

Find the slope and y-intercept of the line represented by the table. X 0 3 6 9 12 у 4 19 34 49 64 The slope is m = , and the y-intercept is b =

Answer 1

The equation of line passes through the point (x_1,y_1) and (x_2,y_2) is,

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Substitute the coordinates of the points in the equation to obtain the equation of line.

$\begin{gathered} y-4=\frac{19-4}{3-0}(x-0) \\ y-4=5x-5\cdot0 \\ y=5x+4 \end{gathered}$

The general equation of line with slope m and y-intercept b is,

$y=mx+b$

On compare the general equation with y=5x+4, it can be observed that slope is m=5 and y intercept b is 4.

So answer is m=5 and b=4.