ALGEBRA 1 CC Find Slope and x- and y-intercepts. Vocabulary The slope of a nonvertical line is the...
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Transcript of ALGEBRA 1 CC Find Slope and x- and y-intercepts. Vocabulary The slope of a nonvertical line is the...
ALGEBRA 1 CCFind Slope and x- and y-intercepts
Vocabulary
• The slope of a nonvertical line is the ratio of the vertical change (the rise) to the horizontal change (the run) between any two points on the line.
• A rate of change compares a change in one quantity to a change in another quantity.
• Two methods to find the slope of a line.• Use the graph:
• Use the formula:
riseslope
run
2 1
2 1
y ym
x x
Example 1• Find the slope of the line shown.
Example 2 and 3
2) Find the slope of the line that passes through the points (-8, 3) and (4, -5).
3) Find the slope of the line that passes through the points (2, 9) and (-3, -4).
Example 4 and 5• Find the slope of the lines shown.
Vocabulary• The x-coordinate of a point where a graph crosses the x-
axis is an x-intercept.• The y-coordinate of a point where a graph crosses the y-
axis is a y-intercept.
Example 6• Identify the x-intercept and y-intercept of the graph.
Example 7 & 8• Identify the x-intercept and y-intercept of the graph.
• To find the x- and y-intercepts algebraically, given the equation of a graph:• x-intercept: set y=0 and solve for x.• y-intercept: set x=0 and solve for y.
Example 9
• Find the x-intercept and the y-intercept of the graph of 6x – 4y = 36
Example 10
Find the x-intercept and the y-intercept of the graph of 2y – 7x = 21