Question

A line passes through the points (3,14) and (7,18) Write a linear function rule in terms of x and y for this line, Help! I might not be going to my school anymore if I don't pass my math classes :(

Answer 1

SOLUTION: The slope-intercept form of a line is y = mx + b, where m is the slope, and b is the y-intercept.
Step 1: Find the slope The slope of the line through two points (x1,y1) and (x2,y2) can be found by using the formula below. ...
Step 2: Find the y-intercept (b) ...
Step 3: Write the equation in slope-intercept form (y = mx + b) ...
Step 4: Check Your Equation.

Does this make sense?

Answer 2

y=1x+11

Explanation:

1. Find the slope of the given points

`(y2-y1)/(x2-x1)`

`(18-14)/(7-3) =(4)/(4) =1`

2. Pick any point to find the y-intercept

(3, 14)

x=3, y=14, m=1

3. Substitute

y=mx+b

14=1(3)+b

14=3+b

14-3=b

11=b

4. Write the linear function rule

y=mx+b

y=1x+11