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The slope-intercept form is the most "popular" form of a straight line. Many students find this useful because of its simplicity. One can easily describe the characteristics of the straight line even without seeing its graph because the slope and y-intercept can easily be identified.
- Types of Slopes of a Line
Zero Slope. A zero slope means the line is neither...
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The slope of a straight line describes the line’s angle of...
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Example 3: Determine the point-slope form of the line...
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- Types of Slopes of a Line
Find the slope of a line and use slope-intercept form. • I can fi nd the slope of a line. • I can use the slope-intercept form of a linear equation. • I can solve real-life problems using slopes and y-intercepts. Slope is the rate of change between any two points on a line. It is the measure of the steepness of the line.
Goals (Set) Explore the meaning of slope of a line. Find the slope of a line using counting methods and the slope formula. Recognize that segments with the same slope lie on the same line or on parallel lines.
Slope-Intercept Form: y mx b= + , where m is the slope and b is the y-intercept of the line. Standard Form: Ax By C+ = , where A, B, and C real numbers and are written as integers whenever possible*, and A and B cannot both be equal to zero. General Form: Ax By C+ + = 0, where A, B, and C are real numbers and are written as integers whenever
Objectives. Interpret the slope of a line as a rate of change. Find the slopes of lines given two points. Find the slopes of an graph horizontal and vertical lines. Find the slopes and y-intercepts of lines and then graph the lines. Write the equations of lines given the slopes and y-intercepts.
SLOPE AND LINEAR EQUATIONS. In this unit, you will examine the meaning of slope and the relevance of slope in linear equations. You will determine the slope of a line, investigate the slope-intercept form of a linear equation, and graph an equation using a point and the slope.
Section 1.4: Slope-Intercept Form Objective: Give the equation of a line with a known slope and y -intercept. When graphing a line we found one method we could use is to make a table of values.
