Point Slope Form of the Equation of a Line

The equation of a horizontal line is y b where b is the y-intercept. Therefore this is the point-slope form of a line equation.

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For example lets solve for b given a slope of 12 and a point 54.

. -4 7 Slope m -5. Just type numbers into the boxes below and the calculator will automatically calculate the equation of line in standard point slope and slope intercept forms. Enter any Number into this free calculator textSlope frac y_2 - y_1 x_2 - x_1 How it works.

One way is using the slope-intercept formula y mx b. Find the equation of the line through 4 7 with slope -5. Thus the equation representing a line using slope-intercept form is the y value of a coordinate on the line is equal to the x value of the coordinate times m plus the y-intercept b.

How to enter numbers. Two Point form is one such method used to find the equation of a straight line without slope where two co-ordinates are given. A line has the general form of y mx b or vertical position is the product of the slope and horizontal position x plus the point where the line crosses intercepts the x-axis the line where z is always zero So once you have calculated the slope you can put any of the two points known into the equation leaving us with only the intercept b unknown.

And the other way is by using the point-slope formula Example of Finding The Equation Of A Line Given The Slope And A Point Example 1. This y-value is therefore also the y-intercept. Also get the Point Slope Form Calculator and Slope Calculator here.

So point-slope form says that y y 1 mx -. This online two points into point slope form calculator helps you to find the equation of the straight line using the two. Let -4 7 x 1 y 1 We know that the equation of a line in.

And I can use either one in point-slope form to find out an equation for where I will be at what time. Improve your math knowledge with free questions in Point-slope form. Since the slope of a horizontal line is 0 the general formula for the standard form equation y mx b becomes y 0x b y b.

Graph an equation and thousands of other math skills. Lets solve this using the point-slope formula which is. Alsosince the line is horizontal every point on that line has the exact same y value.

This can be simplified to y 5x - 5. Equation of a straight line can be calculated using various methods such as slope-intercept form point slope form and two point slope form. Point Slope Form Examples.

Recall that the slope m is the steepness of the line and b is the intercept - the point where the line crosses the y-axis. Find the equation of the line that passes through the point with a slope of. Enter any integer decimal or fraction.

In the figure above adjust both m and b with the sliders to see the effect of these variables.

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