"Linear functions and linear equations of one variable" PPT courseware for linear functions

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"Linear functions and linear equations of one variable" PPT courseware for linear functions

The connection between linear functions and linear equations of one variable

Exploration: As shown in Figure 1, to find the intersection of the straight line y = 3x + 6 and the x-axis, we can let ________, and get the linear equation of one variable 3x + 6 = 0. The solution is ________, that is, the intersection point is ________. Therefore -2 is the intersection of the straight line y=3x+6 and the x-axis

______ coordinates are also the solution to the linear equation of one variable __________.

Induction: (1) The solution of the linear equation kx + b = 0 ( k ≠ 0) is the abscissa of the intersection of the graph of the linear function y = kx + b (k ≠ 0) and the x-axis. In turn, the linear function y = kx + b ( The abscissa of the intersection point of the graph of k≠0) and the x-axis is the solution of the linear equation kx+b=0(k≠0).

(2) The solution of the linear equation kx+b=y0 (y0 is a known number) is the abscissa of the intersection of the straight line y=kx+b and y=y0.

Draw the graph of the function y=3x-6, and answer based on the graph what is the solution to the equation 3x-6=0.

Idea guide: The solution to the equation 3x-6=0 is the abscissa of the intersection of the graph of the function y=3x-6 and the x-axis.

1. The solution of the equation 3x -9 = 0 is ________, then the function y = 3x -9 intersects the x-axis at the point ________, and intersects the y-axis at the point ________.

2. As shown in Figure 3, the graph of the known linear function y=2x-1 is as shown in the figure. When y=3, find the value of x.

Solution: It can be seen from the picture that when y=3, x=2, that is, solving the equation 3=2x-1, we get x=2.

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"Linear functions and linear equations of one variable" PPT courseware for linear functions 2:

"Linear Functions and Linear Equations of One Variable" Linear Function PPT Courseware 2 Learning Objectives 1. Understand the relationship between linear functions and linear equations of one variable. 2. Be able to solve the problem of solving linear equations of one variable based on the graph of a linear function. Review Let’s first look at the following two...

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Update Time: 2024-09-16

This template belongs to Mathematics courseware People's Education Press Eighth Grade Mathematics Volume 1 industry PPT template

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