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Why is slope form important?
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!).
The slope of the line below is 2 Write the point-slope equation for the line using the coordinates of the labeled point Do not include spaces in your answer?
-5
What is the equation in slope intercept form of the line that has a slope of 3 and contains the point 2 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
How do you find the y intercept in slope intercept form?
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
Write the equation of a line in slope intercept form that has a slope of 4 and passes through the point 2 7?
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.
How do you graph using point slope?
A straight line on the Cartesian plane
When you graph a line using slope intercept form do you start by graphing m or b first?
Start with b. To do this, plot the point (0, b). "Begin with B and Move with M!"
Can the point slope formula be used to find an equation of any line?
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
How can i graph c -4 2 and slope 3 2?
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.
How do you determine a slope from a 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.
How do you calculate the slope of a graph?
Using limits and the basic gradient formula: rise/run.
How can you study speed by using a graph?
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.
Why is slope form important?
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!).
Why can't all linear equations be written using point slope?
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.
How do you graph a line on a graph?
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.
How do you graph 3x plus 4y equals -4?
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.
Find the point slope equations of the line using the point 7 4 and slope of?
y-4=3/2(x-7)
