Points: (1, 5) and (-2, -7)
Slope: (5--7)/(1--2) = 4
Equation using either of the points:
y--7 = 4(x--2) => y = 4x+1
y-5 = 4(x-1) => y = 4x+1
y = 5
its an equation that you can graph and when the points are connected, it makes a line. usually includes variables x and y.
In coordinated geometry the points on a straight line will determine its equation.
The answer will depend on the equation of the line.
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.
It is the locus of all points whose coordinates satisfy the equation of the line.
But it's not an equation because there is no equal sign and no points are given.
This is an equation of a line. There are an infinite number of solutions which are all points on the line. It is a linear equation.
Write the equation of the line that passes through the points (3, -5) and (-4, -5)
If you mean points of (-4, 2) and (4, -2) Then the straight line equation works out as 2y = -x
If you mean points of (2, -8) and (0, 0) then the equation is y = -4x
-1