When you graph a line using only the slope and a point, you start by graphing the point.
Slope form gives you a clear image of the graph automatically as soon as you see the equation. In any given equation y=mx+b, m is the slope, which helps you visualize how steep the graph is and in which direction it goes (increases or decreases). b is the y-intercept, which is just a fancy term for where the graph intersects the y-axis. Using slope form helps you graph the graph way easier than using another form, such as standard form (Ax+By=C. What a mess!).
-5
ok, here we go:The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). It's usually easy to graph a line using y=mx+b.With this definition to figure out your equation we know:m=slope=3y=5x=2plug in all the #'s:5=3(2)+bb=-1your equation is:y=3x-1
Definition of slope intercept form:The slope-intercept form is one way to write a linear equation (the equation of a line). The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). It's usually easy to graph a line using y=mx+b. Other forms of linear equations are the standard form and the point-slope form.For example, if you have slope of 2 and points (4, 5) your equation will look like this:5=2x+bif x=4, you get 5=2(4)+bsolve for b: -3y=2x-3
Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.By using the slope, m = 4 and the point (x1, y1) = (2, 1), write the point-slope equation of a line:(y - y1) = m(x - x1)(y - 1) = 4(x -2)y - 1 = 4x - 8 add 1 to both sidesy = 4x - 7Thus, the slope-intercept form is y = 4x - 7.
A straight line on the Cartesian plane
Start with b. To do this, plot the point (0, b). "Begin with B and Move with M!"
Point-slope refers to a method for graphing a linear equation on an x-y axis. When graphing a linear equation, the whole idea is to take pairs of x's and y's and plot them on the graph. While you could plot several points by just plugging in values of x, the point-slope form makes the whole process simpler. Point-slope form is also used to take a graph and find the equation of that particular line. Point slope form gets its name because it uses a single point on the graph and the slope of the line. Think about it this way: You have a starting point on a map, and you are given a direction to point. You have all the information you need to draw a single line on the map. The standard point-slope equation looks like this: It should be noted that "y1" does not mean y multipled by 1. In this case it means "y sub one", which is the y value for the point you will be using. The variable m is the slope of the line
You can graph X -4 2 and slope 3 2 by first finding the values of X and Y and then using those values to sketch your graph.
Slope = (vertical change)/(horizontal change), commonly referred to as rise/run. If the graph is a straight line, then you can count squares or measure how much change in vertical, over a specified change in horizontal. If it is a curve, then you need to have a tangent line (a line that touches the curve at a specific point and has the same slope as the line), then you can determine the slope of that line using the method described, above.
Using limits and the basic gradient formula: rise/run.
By plotting distance versus time on a graph, you can analyze the speed of an object. The slope of the graph represents the speed, with a steeper slope indicating higher speed. Additionally, the slope can be calculated by finding the ratio of the change in distance to the change in time.
Slope form gives you a clear image of the graph automatically as soon as you see the equation. In any given equation y=mx+b, m is the slope, which helps you visualize how steep the graph is and in which direction it goes (increases or decreases). b is the y-intercept, which is just a fancy term for where the graph intersects the y-axis. Using slope form helps you graph the graph way easier than using another form, such as standard form (Ax+By=C. What a mess!).
Because of undefined slope, because undefined slope does not have a slope it doesn't have anything to substitute for m in the point slope equation.
well you use a formula ..... the one that i use most is y=mx+b this formula is slope-intercept formula the slope of the line is m, and the intercept is the b(the y intercept). Say the slope(m) is 3/2 the starting from the y intercept (in this case let it be 2, which is the coordinate [0,2]) you would go to the right 2 units and up 3 units(3/2=rise/run) to get another point. With that point(which in this case would be [2,5]) you can make a straight line through the two points to get your line on the graph. you can make as many points as you want, just keep using the slope(in this case 3/2). Another way, with graph paper: if you are dealing with a straight line, then pick two values of x, and solve for the respective y values. Plot these two points on the graph paper, then using a straight edge, connect the dots, and extend beyond each point.
3x+4y=-4 can be graphed on a graphing calculator or by changing the form of the equation from standard form to slope intercept form. Rearrange the equation 4y=-3x-4 divide by 4 y=(-3/4)x-1 Now, you can simply graph the equation using the y intercept and the slope of the equation. A good point to start with is (0,-1) you know this point is the y intercept because of the standard y intercept equation y= mx+b where b is the y intercept and m is the slope. From the y intercept of (0,-1) you can then graph using the slope which is the change of y over change in x. So you would move up 3 and to the left 4 since the slope is negative. You can also move down three and to the right 4. Then continue, this process until you have the equation graphed. It should be a straight line.
y-4=3/2(x-7)