Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
2. Slope of a Line
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Exercise 21 Page 153

Nonvertical parallel lines have the same slope.

No, see solution.

Practice makes perfect

Consider the given two points.

We want to draw a line through each point using a slope of 14. To do so, remember that the slope is the value of the ratio of the change in y to the change in x between any two points on the line. m=Change iny/Change inx Since we want a line with a slope equal to 14, we need to move 1 unit up and 4 units to the right from each point. Let's start with point (- 2, - ,2).

Now, we will do the same for the point (2,0).

Finally, let's draw a line for each pair of points.

Remember that lines with the same slope are parallel. Parallel lines do not intersect. Therefore, our lines do not intersect.

Extra

Linear Equations
A linear equation is an equation whose graph is a line.

This type of equation contains at least one linear term and any number of constants. Let's see a few examples! & y=2x+1, & 3x=6 +3, & 2y+x=4 For those of you who are interested in learning more about the different types of linear equations and their graphs, you can read more about them on the following pages.