How do you find the equation of a line given two points?
We know two points: point “A” is (6,4) (at x is 6, y is 4) point “B” is (2,3) (at x is 2, y is 3)Step 1: Find the Slope (or Gradient) from 2 Pointssubtract the Y values,subtract the X values.then divide.
How do you find the equation of a circle given two points and a line?
Use the Distance Formula to find the equation of the circle. Substitute (x1,y1)=(h,k),(x2,y2)=(x,y) and d=r . Square each side. The equation of a circle with center (h,k) and radius r units is (x−h)2+(y−k)2=r2 .
What is the Y intercept formula?
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
What are the three equations of a line?
There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form. We review all three in this article. There are three main forms of linear equations.
What is equation of a line?
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.
What is the equation of a straight horizontal line?
Properties of Horizontal Lines Equation of Horizontal Line always takes the form of y = k where k is the y-intercept of the line. For instance in the graph below, the horizontal line has the equation y = 1 As you can see in the picture below, the line goes perfectly sideways at y =1.
What is the general equation for a vertical line?
Vertical lines help determine if a relation is a function in math. The equation of a vertical line always takes the form x = k, where k is any number and k is also the x-intercept .
What is the standard equation of a circle?
First you need to know that the equation for a circle is (x-a)^2 + (y-b)^2 = r^2 where the center is at point (a,b) and the radius is r.
How do I calculate the area of a circle?
The area of a circle is pi times the radius squared (A = π r²).
What is the Y intercept of y =- 2x?
Using the slope-intercept form, the y-intercept is 0 .
How do you interpret the slope and y intercept?
In the equation of a straight line (when the equation is written as “y = mx + b”), the slope is the number “m” that is multiplied on the x, and “b” is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the “slope-intercept form”.