SOLUTION: The section I'm working on is linear equations in two variables and their graphs. I need to find the slope of the line that goes through each pair of points...(1/2, 2), (-1, 1/2).

Question 12436: The section I'm working on is linear equations in two variables and their graphs. I need to find the slope of the line that goes through each pair of points...(1/2, 2), (-1, 1/2). I do not understand how to graph this or how to figure the slope. I have the same problem with decimals!! Any suggestions you have would be warmly welcomed!! Thank You, Allison Nilsson
Answer by Earlsdon(6098) (Show Source):
You can put this solution on YOUR website!
The slope (m) of a line passing through the two points, (x1, y1) and (x2, y2) is given by:
Substitute the x and y-coordinates of the two given points to find the slope, m.

The slope is: m = 1
To graph the line, you will need to find the equation of the line.
You can use the slope-intercept form: y = mx + b. You have just found m (=1), now, into the formula, you substitute the x and y-coordinates of either one of the two given points, then you'll solve for b, the y-intercept. Let's use the first point (1/2, 2).

Simplify and solve for b.
Subtract 1/2 from both sides.

Now you can write the equation of the line that passes through the two given points.
Let's see what the graph of this line looks like.