29. The table below shows some of the values of and for a linear function.

Question

asked Apr 14, 2021 173k views

2 Answers

Bharat Gupta · Answer 1 · 2021-04-20T15:08:42+0000

The first graph is the solution for given table and the linear equation is y=3x+2.

Explanation:

The linear equation of the line is y=mx+c.

where m is the slope and c is the y intercept.

The slope
m=(rise)/(run) .

$\\rise=y_(2) -y_(1).\\run=x_(2)- x_(1).$

Choose two points (0,2) and(1,5).

$m=(5-2)/(1-0) \\m=(3)/(1).\\$

y=3x+c.

To find the y-intercept value substitute (0,2) in the equation.

2=0+c.

c=2.

∴y=3x+2.