Question

Find the equation of the line in slope intercept form passing through the points (2,1) and (4,9).Explain

Answer 1

Given

Points (2,1) and (4,9)

Find

Equation of the line in slope intercept form

Explanation

Slope intercept form =

y = mx + b , ............(1)

where m is a slope and b is y - intercept

Slope =

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{9-1}{4-2} \\ m=\frac{8}{2} \\ m=4 \end{gathered}$

so , on putting the point (2,1) we find b in (1)

1 = 4(2) + b

b =-7

so,

slope intercept form =

y = 4x -7

Final Answer

equation of the line in slope intercept form is y = 4x -7