Slope Grade 7 Math AF 3.3

Slope Standards California AF3.3 Graph linear functions, noting that the vertical change (change in y-value) per unit of horizontal change (change in x-value) is always the same and know that the ratio (“rise over run”) is called the slope of a graph. California Standards

Slopes: Bear Mountain, Big Bear, CA

Slope

The slope of a line can be defined as positive, negative, no slope, or undefined. Positive Slope Negative Slope

The slope of a line can be defined as positive, negative, no slope, or undefined. Undefined Slope

Identify the type of slope of the line if any. No Slope Negative Slope

Identify the type of slope of the line if any. Positive Slope Undefined Slope

Slope m = The “rise” represents a vertical change on the graph. In other words, the top number tells you how far to move up or down. Rise is vertical change:

Slope m = The “run” represents a horizontal change on the graph. In other words, the bottom number tells you how far to move “across or back”. Run is horizontal change:

Slope m = If slope m = This line has a positive slope. I will move “up” 2 spaces and across 3 spaces This line has a positive slope.

Remember, there are three ways to write a “negative rational number”, negative fraction.

With this fraction, the top number is negative With this fraction, the top number is negative. Since the top represents the “rise”, a negative rise would indicate moving “down”.

Slope m = If slope m = This line has a negative slope. I will move “down” 3 spaces and across 4 spaces This line has a negative slope.

With this fraction, the bottom number is negative With this fraction, the bottom number is negative. Since the bottom represents the “run”, a negative run would indicate moving “across forward or across back”.

Slope m = If slope m = This line has a negative slope. I will move “up” 3 spaces and “back” 4 spaces This line has a negative slope.

Graph a line with: Plot coordinate (13, -10); slope m = Quadrant II y-axis Quadrant I 10 Graph a line with: 5 x-axis -15 -10 -5 5 10 15 Plot coordinate (13, -10); slope m = -5 -10 Quadrant III Quadrant IV

Plot coordinate (-12, 8); slope m = Quadrant II y-axis Quadrant I 10 5 x-axis -15 -10 -5 5 10 15 Plot coordinate (-12, 8); slope m = -5 -10 Quadrant III Quadrant IV

Show a “line” that is passing through (-3, 2); slope m is Find two different points on each side of a line.

(-3, 2); slope m = Quadrant II y-axis Quadrant I 10 5 -15 -10 -5 5 10 x-axis -5 (-3, 2); slope m = -10 Quadrant III Quadrant IV

Show a “line” that is passing through (3, -2); slope m is

(3, -2); slope m = Quadrant II y-axis Quadrant I 10 5 -15 -10 -5 5 10 x-axis -5 -10 Quadrant III Quadrant IV

Show a “line” that is passing through (-1, -3); slope m is

(-1, -3); slope m = Quadrant II y-axis Quadrant I 10 5 -15 -10 -5 5 10 x-axis -5 -10 Quadrant III Quadrant IV

Show a “line” that is passing through (0, 4); slope m is

(0, 4); slope m = y-axis Quadrant II Quadrant I 10 5 -15 -10 -5 5 10 x-axis -5 -10 Quadrant III Quadrant IV