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

Step-by-step explanation

Slope intercept form =

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

where m is a slope and b is y - intercept

Slope =

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(9-1)/(4-2) \\ m=(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