Given points: (6, 11), (3, 10)
Find: the equation of the line that passes through the given points Solution: First, wee need to find the slope m of the line, and then we can use one of the given points in the point-slope form of the equation of a line. After that you can transform it into the general form of the equation of a line. Let (x1, y1) = (3, 10), and (x2, y2) = (6, 11) slope = m = (y2 - y1)/(x2 - x1) = (11 - 10)/(6 - 3) = 1/3 (y - y1) = m(x - x1)
y - 10 = (1/3)(x - 3)
y - 10 = (1/3)x - 1
y - 10 + 10 - (1/3)x = (1/3)x - (1/3)x + 10 - 1
-(1/3)x + y = 9 which is the general form of the required line.
Write the equation of the line that passes through the points (3, -5) and (-4, -5)
Points: (0, -2) and (6, 0) Slope: 1/3 Equation of line: 3y = x-6
Y= -3x + 8
Points: (6, -3) and (-4, -9) Slope: 3/5 Equation: 5y = 3x-33
goes through the origin, up and to the right
Plug both points into the equation of a line, y =m*x + b and then solve the system of equations for m and b to get equation of the line through the points.
Write the equation of the line that passes through the points (3, -5) and (-4, -5)
Points: (5, -2) and (4, 3)Slope: -5Equation: y = -5x+23
The line goes through the midpoint, which is halfway between points. The distances are equal to each other, and proves that they are equidistant.
The formula for a line is: Y = mX + b
In general, a linear equation CANNOT be made to go through three points. That will only happen if the three points are collinear and in that case, the equation of the line will only require two points.
If you mean a point of (0, 3) and a slope of 2 then the equation is y = 2x+3
If you mean points of (-4, 2) and (4, -2) Then the straight line equation works out as 2y = -x
The equation is x = 2
In order to find the equation of a tangent line you must take the derivative of the original equation and then find the points that it passes through.
Points: (0, -2) and (6, 0) Slope: 1/3 Equation of line: 3y = x-6
For any line, there needs to be two points. If the line passes through points and extends in both directions forever, it's a line. If the line just goes between the two points, its called a line segment. If the line goes through both points but only extends in one direction, it's a ray.