Slope Intercept Form Of A Linear Equation
Camila Farah
We have graphed linear equations by plotting points using intercepts recognizing horizontal and vertical lines and using the point slope method.
Watch this tutorial and learn about the point slope form of a line. This can be done by calculating the slope between two known points of the line using the slope formula. The slope intercept form is the most popular form of a straight line. The y intercept is the point where your line crosses the y axis.
B is the slope. We are going to talk about x and y intercepts. New questions in mathematics. Earlier in this chapter we have expressed linear equations using the standard form ax by c.
M is the slope. Using slope intercept form as linear cost function. Y a bx. One of the major applications of slope intercept form equation of a line is it can be used as linear cost function in business.
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Solve the equation for the slope. The slope intercept form of a linear equation is. B is where the line crosses the y axis. To summarize how to write a linear equation using the slope interception form you.
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. An x intercept is the point where your line crosses the x axis. Identify the slope m. When you re learning about linear equations you re bound to run into the point slope form of a line.
Y 4x 3 1. What s point slope form of a linear equation. A hobby pack of baseball cards contains 9 cards and a jumbo pack contains 35 cards. Before we begin i need to introduce a little vocabulary.
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Many students find this useful because of its simplicity. Since the slope of a horizontal line is 0 the general formula for the standard form equation y mx b becomes y 0x b y b also since the line is horizontal every point on that line has the exact same y value. In the slope intercept form you use the slope of the line and the y intercept to express the linear function. Substitute 4 3 for m and 1 for b.Using slope intercept form is one of the quickest and easiest ways to graph a linear equation. This form is quite useful in creating an equation of a line if you re given the slope and a point on the line. Y mx b. A is a constant term.
Now we re going to show another way of expressing linear equations by using the slope intercept form y mx b. The equation of a horizontal line is y b where b is the y intercept.
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