Graphs Of Functions Intermediate Algebra
Explanation Make an x and y chart (T chart) Since y will always equal 2, no matter what value you put in for x, the y is always going to be 2 So, first plot (0,2) Then, you can plot any point you'd like, as long as the y value is 2 The line should turn out to be a straight horizontal line that crosses the y axis at 2 Answer linkThe equation of a straight line on a graph is made up of a \ (y\) term, an \ (x\) term and a number, and can be written in the form of \ (y = mx c\) The slope of the line is known as the
X+y=2 straight line graph
X+y=2 straight line graph-The effect of a negative value of b;The graph is the straight line that passes through those two intercepts Example 2 Mark the x and y intercepts, and draw the graph of 5 x − 2 y = 10 Solution Although this does not have the form y = ax b, the strategy is the same Find the intercepts by putting x then y equal to 0 x
Equation Of A Straight Line
Equation of a Straight Line Equation of a Straight Line The equation of a straight line is usually written this way y = mx b (or "y = mx c" in the UK see below) What does it stand for?Y = how far up x = how far along m = Slope or Gradient (how steep the line is) b = value of y when x=0 How do you find "m" and "b"? y= (x/2) is this a straight line graph, if so what is the gradient and the value of the intercept with the vertical axis Yes, this is straight line y = x/2 = (1/2)x compare it with y = mx b where m is the gradient of line Gradient = 1/2 For finding value of the intercept with the vertical axis , put x = 0
To plot a straight line graph we need to find the coordinates of at least two points that fit the rule Example 6 Plot the graph of y = 3x 2 Solution Construct a table and choose simple x values The table of values obtained after entering the values of yThe graph of each of these equations is a straight line x = 3 y = 2 y = x y = 2x y = 3x – 1 x y = 3 y x = 4 If an equation can be rearranged into the form y = mx c, then its graph will be a straight line In the above x y = 3 can be rearranged as y = 3 x or y = −x 3State True or False The graph of y=x 2 is a straight line Medium Solution Verified by Toppr Given equation is y=x 2 (i) Let's find some points to draw the graph of (i) x 0 −1 1 −2 2 y 0 1 1 4 4 Plot these points on the graph and we get the graph shown above which is a parabola Hence, the given statement is false
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Straight line graphs The graph of each of these equations is a straight line \x = 3\ \y = 2\ \y = x\ \y = 2x\ \y = 3x 1\ \x y = 3\ \3x 4y = 12\ \y 2 = 3(x 4) \Learn how to graph the linear equation of a straight line y = x using table method
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