tailieunhanh - Lecture General mathematics: Lecture 14 - Ms. Fehmida Haroon

The main contents of this chapter include all of the following: Hyperbolic functions, identities involving hyperbolic functions, derivatives of hyperbolic functions, integrals of hyperbolic functions, inverse hyperbolic functions, derivatives of inverse hyperbolic functions, integrals yielding the inverse hyperbolic functions. | General Mathematics ADE 101 Unit 2 LECTURE No. 13 Slope of A linear Equation Today’s Objectives Knowledge Test What is a slope of a line? SLOPE Slope is the ratio of the vertical rise to the horizontal run between any two points on a line. Usually referred to as the rise over run. Slope triangle between two points. Notice that the slope triangle can be drawn two different ways. Rise is -10 because we went down Run is -6 because we went to the left Rise is 10 because we went up Run is 6 because we went to the right Remember, linear equations have constant slope. For a line on the coordinate plane, slope is the following ratio. This ratio is often referred to as “rise over run”. Slopes: positive, negative, no slope (zero), undefined. Finding slope (rate of change) using a graph and two points. X AND Y INTERCEPTS The x-intercept is the x-coordinate of a point where the graph crosses the x-axis. The y-intercept is the y-coordinate of a point where the graph crosses the y-axis. The x-intercept would be 4 and is located at the point (4, 0). The y-intercept is 3 and is located at the point (0, 3). y x SLOPE-INTERCEPT FORM m is the slope b is the y-intercept The slope intercept form of a linear equation is y = mx + b. (0 , b) If the graph of an equation intersects the y -axis at the point (0, b), then the number b is the y -intercept of the graph. To find the y -intercept of a line, let x = 0 in an equation for the line and solve for y. y = mx + b GRAPHING EQUATIONS IN SLOPE-INTERCEPT FORM The slope-intercept form of an equation gives you a quick way to graph the equation. SLOPE-INTERCEPT FORM Find y-intercept, use it to plot point where line crosses y-axis. Find slope, use it to plot a second point on line. Draw line through points. Write equation in slope-intercept form by solving for y. STEP 1 STEP 2 STEP 3 STEP 4 The y-intercept is – 2, so plot the point (0, – 2) where the line crosses the y -axis. The equation is already in slope-intercept form. Graphing with the . | General Mathematics ADE 101 Unit 2 LECTURE No. 13 Slope of A linear Equation Today’s Objectives Knowledge Test What is a slope of a line? SLOPE Slope is the ratio of the vertical rise to the horizontal run between any two points on a line. Usually referred to as the rise over run. Slope triangle between two points. Notice that the slope triangle can be drawn two different ways. Rise is -10 because we went down Run is -6 because we went to the left Rise is 10 because we went up Run is 6 because we went to the right Remember, linear equations have constant slope. For a line on the coordinate plane, slope is the following ratio. This ratio is often referred to as “rise over run”. Slopes: positive, negative, no slope (zero), undefined. Finding slope (rate of change) using a graph and two points. X AND Y INTERCEPTS The x-intercept is the x-coordinate of a point where the graph crosses the x-axis. The y-intercept is the y-coordinate of a point where the graph crosses the y-axis. The .