Q:

QUICK PLEASE !!!!!Find the equation of the linear function represented by the table below in slope-intercept form.

Accepted Solution

A:
Answer:y = 3x + 3Step-by-step explanation:The slope-intercept form of an equation of a line:[tex]y=mx+b[/tex]m - slopeb - y-interceptThe formula of a slope:[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]==============================================From the table we have :x = 1 → y = 6x = 2 → y = 9x = 3 → y = 12x = 4 → y = 15Calculate the slope (choice any two pairs, and calculate the slope):(1, 6), (2, 9)[tex]m=\dfrac{9-6}{2-1}=\dfrac{3}{1}=3[/tex]We have the equation:[tex]y=3x+b[/tex]Put the coordinates of the point (1, 6) to the equation, and solve it for b:[tex]6=3(1)+b[/tex][tex]6=3+b[/tex]              subtract 3 from both sides[tex]3=b\to b=3[/tex]Finally:[tex]y=3x+3[/tex]