slope intercept form into standard form calculator

If it decreases when moving from the upper left to lower right, then the gradient is negative. The standard form of a linear equation is Ax+B圜 A x + B y C. If the graph of the line moves from lower left to upper right it is increasing and is therefore positive. The sign in front of the gradient provided by the slope calculator indicates whether the line is increasing, decreasing, constant or undefined. You can also use the distance calculator to compute which side of a triangle is the longest, which helps determine which sides must form a right angle if the triangle is right. The computations for this can be done by hand or by using the right triangle calculator. If any two sides of a triangle have slopes that multiply to equal -1, then the triangle is a right triangle. The slopes of lines are important in determining whether or not a triangle is a right triangle. This can be obtained using the midpoint calculator or by simply taking the average of each x-coordinates and the average of the y-coordinates to form a new coordinate. The midpoint is an important concept in geometry, particularly when inscribing a polygon inside another polygon with its vertices touching the midpoint of the sides of the larger polygon. Just as slope can be calculated using the endpoints of a segment, the midpoint can also be calculated. The article below is an excellent introduction to the fundamentals of this topic, and we insist that you give it a read. The slope of a line has many significant uses in geometry and calculus. Right away, the calculator tells us that y 2 = 10.92. To find the point where the line crosses the y-axis (i.e., x = 0), enter 12% in percent grade (9, 12) as the coordinate of the first point, and x 2 = 0. You can use this calculator in reverse and find a missing x or y coordinate! For example, consider the line that passes through the point (9, 12) and has a 12% slope. If we need the line's equation, we also have it now: y = 0.16667x + 4.83333. Instantly, we learn that the line's slope is 0.166667.

Enter the x and y coordinates of the first point, followed by the x and y coordinates of the second one.

Slope as a percentage (percentage grade).įor example, say you have a line that passes through the points (1, 5) and (7, 6).

The angle the line makes with respect to the x-axis (measure anti-clockwise).

The equation of your function (same as the equation of the line).

But the magic doesn't stop there, for you also get a bunch of extra results for good measure: To calculate the slope of a line, you need to know any two points on it:Įnter the x and y coordinates of the first point on the line.Įnter the x and y coordinates of the second point on the line. Using the equation y = 3x - 6, set x=0 to find the y-intercept.Here, we will walk you through how to use this calculator, along with an example calculation, to make it simpler for you. It is the point where the line crosses the y axis. The y-intercept of a line is the value of y when x=0. Slope is the coefficient of x so in this case slope = 3

This is slope intercept form, y = 3x - 6.

You want to get y by itself on one side of the equation, so you need to divide both sides by 2 to get y = 3x - 6.

Subtract 12 from both sides of the equation to get 6x - 12 = 2y.

Add 2y to both sides to get 6x = 12 + 2y.

Your goal is to get the equation into slope intercept format y = mx + b

You have the equation of a line, 6x - 2y = 12, and you need to find the slope. If you have the equation for a line you can put it into slope intercept form. Slope intercept form y = 2x + 1 becomes 2x - y = -1 written in standard form. Subtract 1 from both sides of the equation to get 2x - y = -1 Subtract y from both sides of the equation to get 2x - y + 1 = 0 Note that the equation should not include fractions or decimals, and the x coefficient should only be positive. Use either the point slope form or slope intercept form equation and work out the math to rearrange the equation into standard form. You may also see standard form written as Ax + By + C = 0 in some references. Find the difference between the y coordinates, Δy is change in y.Here you need to know the coordinates of 2 points on a line, (x 1, y 1) and (x 2, y 2).

Slope intercept form into standard form calculator