<h2>
Linear Equations</h2>
Linear equations are typically organized in slope-intercept form:
- <em>m</em> = the slope
- <em>b</em> = the y-intercept (the value of y when x=0)
To find the slope of a line (m):
- Find the coordinates of two points that fall on the line
- Plug them into the following formula:
- where and are the coordinates of the points
To find the y-intercept of a line (b):
- Plug the slope into
- Plug in one of the points
- Solve for <em>b</em>
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<h2>Solving the Question</h2>
We're given a set of coordinates for this linear relation.
First, solve for the slope.
⇒ Plug in any two points that fall on the line (in this case we used (-2,-7) and (2,1)):
Therefore, the slope of the line is 2. Plug this into :
Now, let's solve for the y-intercept (b)
Plug in any of the given points:
Therefore, the y-intercept of the line is 3. Plug this back into :
<h2>Answer</h2>