172k views
1 vote
Find the equation of the line :

Find the equation of the line :-example-1
User Florie
by
6.0k points

2 Answers

4 votes

Answer:

y = x - 5

Explanation:

First, we will find the slope of the line.

Find a point on the line where it is on an integer x and y, like (7,2) or (6,1)

I will use point (6,1).

Then, count how many units up and to the right you need to go to get to the next integer point. For me to go from (6,1) to (7,2), I need to go up one and one to the right. We put that in
(rise)/(run) so we get
(1)/(1) which is equal to 1. That means that the slope, or m, is 1.

Now we need to find the y-intercept.

This is easy, just start at (0,0) and go down until the line intersects the y-axis. The y value at that point is the y intercept, and the y intercept, or b, of this line is -5.

Now, plug these values into y = mx + b.

y = 1x -5

y = x - 5

User Yovanny
by
5.8k points
2 votes
y=1x+(-5) because the y-intercept is negative 5 and that is going to be the B value. Because anything that multiplies with zero equals zero so when you input 0 for x the b value would always be the y-intercept.
User Ola M
by
5.9k points