The slope-intercept form of the equation of the line is y = mx + b, where m is the slope and b is the y-intercept.
In our case, for m = 1, this equation becomes y = x + b.
To graph this equation, we can start form the point (0, b). Since the slope is 1, we can write it as 1/1, and use it to determine a second point on the line. Based on the slope, 1/1 = rise/run, we move from the point (0, b) 1 unit up (the rise) and 1 unit to the right (the run). This puts us a second point on the line, (1, b + 1).
Now that we have two points, (0, b) and (1, b + 1), we can draw a line that passes through them, which is the graph of y = x + b.
They are alike in that you graph the lines in the same way, but they are different because you have to shade in one side of the line
Yes.
Same way you graph y = -4x - 0.5
Each ordered pair is made up of two numbers. A linear graph has an infinite number of pairs. An easy way to see this is look at the line y=x. This is a linear graph and any two of the same numbers will work! So there are an infinite number of ordered pairs.
Slope-Intercept form is the form y=mx+b. Sketching the graph involves plotting the line on the coordinate plane. The easiest way to do that is to create two different points from the equation, plot them on the graph and trace a line through them with a ruler. Showing your steps means showing how you got the equation. Make sure that any math you do in your head you put on the paper. Other than that I don't know how to answer this. Was there supposed to be an actual equation with it?
3s=2t can also be written as 3y=2x or 3x=2y. Either way, it is linear. To find out if it is linear, simply graph it. If you can draw a completely vertical line through any point of the graph without intersecting more than one point of the graph, then it is linear. This equation (3s=2t), it is linear.
There are many ways to graph linear equations. One way that will always work it to pick some points, 3 is plenty. Pick and x value, plug it in and then find the y value. You will obtain a set or ordered pairs. Graph these and connect the dots. Voila------------- a line!
They are alike in that you graph the lines in the same way, but they are different because you have to shade in one side of the line
Yes.
Yes.
Two ways: Way 1: Find two points on the line, graph, and extend line. Way 2: Put the equation in slope-intercept form, plot the constant, use the slope to find the next point(s). Extend the line.
Yes, they refer to the same thing.
Here is a simple way to graph a linear equation. A linear equation is one that has a y term (a number times y), an x term and a constant (but no squares or cubes or square roots etc.): Let x = 0 and use the equation to find y. This gives you one point on the graph: (0, -3) Let y = 0 and use the equation to find x. This gives you another point on the graph (3, 0) Plot these two points, join them with a line and extend in both directions. However, this method gives only one point if the equation is of the form y = ax where a is some non-zero constant; and that point is (0,0) In that case, use (1,a) as the second point.
That's not an equation, so there's nothing to graph. Simple way to tell: There's no "equals" sign in it.
Same way you graph y = -4x - 0.5
Each ordered pair is made up of two numbers. A linear graph has an infinite number of pairs. An easy way to see this is look at the line y=x. This is a linear graph and any two of the same numbers will work! So there are an infinite number of ordered pairs.
it shifts to the rightt!