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Hi, Im Rob. Welcome to Math Antics! In this lesson, were gonna learn something thats an important foundation for tons of math problems, including those youll encounter while learning basic Algebra. Were gonna learn about graphing, which basically means taking mathematical relationships and turning them into pictures. Hey Friends, welcome back to The Joy of Graphing. Were gonna pick up right where we left off. We already have this nice, beautiful function right here. But it needs a friend. And were gonna do that by adding some points. So lets put the next point right here. Now all we need to do is connect those pointscuz theyre all friends. And what to friends do? They stay connected. Oh and look at that Thats beautiful. Well, not the kind of picture that youd hang on your wall. Graphing just means making a visual representation of an equation or data set so you can understand it better. Its a way of helping you literally SEE how math works. When math is just a bunch of

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Steps for graphing an equation using the slope and y-intercept: Find the y-intercept = b of the equation y = mx + b. Plot the y-intercept. The point will be (0, b). Find the slope=m of the equation y = mx + b. Make a single step, using the rise and run from the slope. Connect those two points with your line.

On the Insert tab, in the Illustrations group, click Chart. In the Insert Chart dialog box, click the arrows to scroll through the chart types. Select the type of chart that you want and then click OK. When you rest the mouse pointer over any chart type, a ScreenTip displays its name.

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.

To graph the equation, choose three values for x and list them in a table. (Hint: choose values that are easy to calculate, like 1, 0, and 1.) Substitute each value in the equation and simplify to find the corresponding y-coordinate. Plot the ordered pairs and draw a straight line through the points.

The quadratic function f(x) = a(x - h)2 + k, a not equal to zero, is said to be in standard form. If a is positive, the graph opens upward, and if a is negative, then it opens downward. The line of symmetry is the vertical line x = h, and the vertex is the point (h,k).

0:00 10:19 Write Equation given Graph - YouTube YouTube Start of suggested clip End of suggested clip So when we have to write an equation to represent a line and were given the graph. Were going toMoreSo when we have to write an equation to represent a line and were given the graph. Were going to write our equations in slope-intercept form y equals MX plus B. So lets just review slope-intercept

To graph an equation using the slope and y-intercept, 1) Write the equation in the form y = mx + b to find the slope m and the y-intercept (0, b). 2) Next, plot the y-intercept. 3) From the y-intercept, move up or down and left or right, depending on whether the slope is positive or negative.

On the Insert tab, in the Illustrations group, click Chart. In the Insert Chart dialog box, click the arrows to scroll through the chart types. Select the type of chart that you want and then click OK. When you rest the mouse pointer over any chart type, a ScreenTip displays its name.

How to Rewrite an Equation in Standard Form: Given an Equation in a Point-Slope Form Example. Step 1: Distribute m m to xx1 x x 1 . Step 2: Move y1 y 1 to the other side of the equation. Step 3: Subtract mx m x from both sides.

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.

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