Assuming the two points are (-4,-7) and (3,2) the equation for the slope would be (3-(-4))/(2-(-7)) which equals 7/9. If we use y=mx+b and the point (3,2) you get 2=(7/9)*3+b which simplifies to 2=2 1/3+b then by subtracting 2 1/3 from both sides you are left with b= -1/3. Thus the equation is y=7/9x-1/3.
Only one line can pass through two points, but this line can have different equations that could represent it. These are called dependent equations (because they represent the same line). * * * * * That is true for the Euclidean plane. But on surfaces that are not flat, there can be infinitely many lines through any pair of points.
y-6=5/6(x+5) AND y-1=-5/6(x-1)
Quadratic, simultaneous and straight line equations
Points: (-4, -7) and (3, 2) Slope: 9/7 Equation: 7y = 9x-13 or as y = 9/7x-13/7
Rhumb line.
Linear equations with one variable will either be horizontal or vertical lines. y=2 is a horizontal line going through (0,2)
Only one line can pass through two points, but this line can have different equations that could represent it. These are called dependent equations (because they represent the same line). * * * * * That is true for the Euclidean plane. But on surfaces that are not flat, there can be infinitely many lines through any pair of points.
y-6=5/6(x+5) AND y-1=-5/6(x-1)
The line going through an "o" helps to clarify the letter o, from the number zero.
Both straight line equations will have the same slope or gradient but the y intercepts wll be different
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.
line note
Parallel straight line equations have the same slope but with different y intercepts
A linear equation corresponds to a line, and a linear inequality corresponds to a region bounded by a line. Consider the equation y = x-5. This could be graphed as a line going through (0,-5), (1,-4), (2,-3), and so on. The inequality y > x-5 would be the region above that line.
Quadratic, simultaneous and straight line equations
Points: (-4, -7) and (3, 2) Slope: 9/7 Equation: 7y = 9x-13 or as y = 9/7x-13/7
Equations with the same solution are called dependent equations, which are equations that represent the same line; therefore every point on the line of a dependent equation represents a solution. Since there is an infinite number of points on a line, there is an infinite number of simultaneous solutions. For example, 2x + y = 8 4x + 2y = 16 These equations are dependent. Since they represent the same line, all points that satisfy either of the equations are solutions of the system. A system of linear equations is consistent if there is only one solution for the system. A system of linear equations is inconsistent if it does not have any solutions.