Graph y 10

This means that x is an independent variableand y is a dependent variable graph y 10 it is determined by the value of x. This graph has a gradient of 2 and a y-intercept of 1the coordinate 0,1. Imagine climbing a ladder. If the ladder is really close to the wall, the gradient of the ladder is really steep you would almost be climbing vertically.

The graph of a straight line can be described using an equation close equation A mathematical statement showing that two expressions are equal. This is the gradient close gradient A measure of the slope of a line. The steeper the line, the greater the gradient. Commonly referred to as 'the intercept'. Although three points are sufficient, more points may be plotted.

Graph y 10

The pair 8, is called an ordered pair. For example,. We can also write the pairings in the form of tables. The choices for the values of the independent variable are arbitrary. Another notation commonly used in mathematics to represent the dependent variable is function notation. Note: f x does not mean to multiply f by x. Due to the work of Rene Descartes , we can represent ordered pairs as points on a plane by graphing, using the Cartesian coordinate system. In this system, two number lines intersect at right angles and separate the plane into four quadrants. The origin, designated by the ordered pair 0, 0 , is the point of intersection. The horizontal number line is called the horizontal axis or x -axis. The vertical number line is called the vertical axis or y -axis. Points that lie on either axis are not in any quadrant. They are simply on an axis See Figure 8.

Key points. Both are horizontal lines with slope 0.

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Donate Log in Sign up Search for courses, skills, and videos. Graphing slope-intercept equations. About About this video Transcript.

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Donate Log in Sign up Search for courses, skills, and videos. Graphing slope-intercept equations. If you haven't read it yet, you might want to start with our introduction to slope-intercept form. Graphing lines with integer slopes.

Graph y 10

In a previous section, it was shown how creating a graphical representation of an exponential model provides some insight in predicting future events. Logarithmic graphs provide similar insight but in reverse because every logarithmic function is the inverse of an exponential function. This section illustrates how logarithm functions can be graphed, and for what values a logarithmic function is defined. We will use point plotting to graph the function. Below is a summary of how to graph parent log functions. Transformations of logarithmic graphs behave similarly to those of other parent functions. The general outline of the process appears below.

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If x goes down by 6, y will go down by 2. After watching this video, I'm still confused. Distance-time graphs. And the general way of writing it is y is equal to mx plus b, where m is the slope. Show preview Show formatting options Post answer. Graphing slope-intercept equations. I learned it differently and wasn't sure if it was the same equation. This topic is relevant for:. About About this video Transcript. Ani V. Melanie Lewis. If you're seeing this message, it means we're having trouble loading external resources on our website. Thus, the ordered pair 2,1 and the point 2,1 are interchangeable ideas. Melanie Lewis. Find the slope m and the y -intercept b of each of the following lines by rewriting the equation in the slope-intercept form, Then graph the line.

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Since the points are on a horizontal line they have the same y-coordinate ,. Click on "Solve Similar" button to see more examples. Melanie Lewis. Parallel to the horizon. Due to the work of Rene Descartes , we can represent ordered pairs as points on a plane by graphing, using the Cartesian coordinate system. And the general way of writing it is y is equal to mx plus b, where m is the slope. Draw a line through the plotted points. Using the point-slope form either point -1, -3 or 5, -2 will give the same result. These cookies will be stored in your browser only with your consent. Other lessons in this series include:. Johnnie Morgan.