Aug 6th, 2022

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familiar so um we will go back through and doing exactly some practice so were going to actually do these problems um a couple different ways the first the first way though is going to get us again familiar with doing slope intercept form so in this case i have 3x plus 5y equals 15. um previously ladies and gentlemen we talked about graphing in slope-intercept form y equals mx plus b and for those of you that were not here first thing we graphed was the y-intercept which was a coordinate point on the y-axis right you found whatever your y-intercept was you plotted it and then we had our slope to find the next point we used slope as a ratio of rise over run the change in the y-coordinates over the change in the x-coordinates to determine the next points once we had two points we could connect and that was helpful because otherwise wed be creating a table of values which would be a lot more work right we only need two points for a line where other functions we need might need more poi

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To graph it, just construct a table of values with two columns x and y, take some random numbers for x, and calculate the corresponding values of y by substituting each of them in the function. Then just plot the points on a graph, join them by a line, and extend the line on both sides infinitely.

A function takes an input and produces an output. In function notation, f ( x ) f(x) f(x)f, left parenthesis, x, right parenthesis, f is the name of the function, x is the input variable, and f ( x ) f(x) f(x)f, left parenthesis, x, right parenthesis is the output.

There are three ways to solve systems of linear equations in two variables: graphing. substitution method. elimination method.

For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an equal sign. The most basic and simple algebraic equations consist of one or more variables in math.

There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.

There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.

The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, its pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.

An equation involving x and y, which is also a function, can be written in the form y = some expression involving x; that is, y = f ( x). This last expression is read as y equals f of x and means that y is a function of x.

To find the equation of a graphed line, find the y-intercept and the slope in order to write the equation in y-intercept (y=mx+b) form. Slope is the change in y over the change in x.

Here are some steps to follow: Understand the problem. Understand all the words used in stating the problem. Understand what you are asked to find. Translate the problem to an equation. Assign a variable (or variables) to represent the unknown. Carry out the plan and solve the problem.

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