Equation of a Line

By Hayley & Cashel

Equation of Line


When dealing graphs we go through many methods. One common thing we do is find the relationship between the points on X axis and the points on Y axis. We can also use slope to help us understand a line. Slope is how many boxes on a graph goes up or down and how many boxes to the right of the graph. We can find slope using 3 methods: numerically, algebraically, and graphically. Finding an equation of a line means we already have slope. When finding plots on a line with slope we use the equation format m(x) +b= y. M=slope, and b= y-intercept.

Here are the ways to solve

Numerically: y pattern /X pattern

Ex- y pattern is -15

X pattern is + .5
Slope- x= +.5/ = -30

Y =-15

Graphically: units going up down
Units to the right

Algebraically: y2-y1

X2-x1

Ex- 6-18 = -12 = -2
6, 0 6


Examples

Ex#1: y=8x-5 M=8 B= (0,-5)

Ex#2: y=1/2x+3 m=1/2 B= (0, 3)

Ex#3:y=7x-7 M=7 B=(0,7)


Ex #4= x: 0,4,8,12

y: -2,0,2,4

+2/+4= M=0.5

Ex#5= x: 0,6,12,24

y: 4,8,12,14

+4/6=m

Independent problems:

For the following identify the slope and y intercept, then Graph

1: y=2x-3

2: y=1/2x-4

3: y=5x-3

4: y=8x-5

5: y=1/4+2

6: y=5x-1

7: y=6x-2

8: y=7x-5

9: x: 2,4,6,8

y: 10,20,30,40

10: x: 3,6,9,12

y: 6,12,18,24

In conclusion we’ve come to see how we’re able to graph a line using the equation m(x) + b = y. We also learned how to find slope using the 3 ways numerically, algebraically, and graphically. Each way is different but every answer will always come out the same.