With difficulty if you don't know the methods and one of the methods is as follows:-
Let the points (k, 3h) and (3k, h) be (x1, y1) and (x2, y2) respectively:
(y-y1) over (y2-y1) = (x-x1) over (x2-x1)
(y-3h) over (h-3h) = (x-k) over (3k-k)
(y-3h) over (-2h)) = (x-k) over (2k)
Multiply both sides by -2hk to eliminate the fractions:
k(y-3h) = -h(x-k)
ky-3hk = -hx+hk
ky = -hx+hk+3hk
ky = -hx+4hk
The above straight line equation can be expressed as: hx+ky-4hk = 0
Normally a straight line segment.
The equation for the given points is y = x+4 in slope intercept form
The wrong information has been given to form a straight line equation but in general a straight line equation is in the form of y = mx+c whereas m is the slope and c is the y intercept
Not enough information has been given because in order to work out a straight line equation the slope and coordinates of (x, y) must be given
The general form is 11x - 10y + 19 = 0
Normally a straight line segment.
The equation for the given points is y = x+4 in slope intercept form
The wrong information has been given to form a straight line equation but in general a straight line equation is in the form of y = mx+c whereas m is the slope and c is the y intercept
y=mx+c where x and y are variables, m is the gradient (or slope) and c is the intercept on y (axis). that is the general equation of a straight line. if you had given some coordinates for the points one could extrapolate from that to find the full equation. since you have not, one cannot.
Points: (4, 1) and (5, 2) Slope: 1 Equation: y = x-3 Equation in its general form: x-y-3 = 0
Not enough information has been given because in order to work out a straight line equation the slope and coordinates of (x, y) must be given
The general form is 11x - 10y + 19 = 0
It is in its general form: 2x+7y-14 = 0
The straight line equation is: y = mx+c whereas m is the slope and c is the y intercept
The value of y will depend on the given straight line equation in the form of y = mx+b
It is a straight line equation in the form of y = mx+c whereas m is the slope and c is the y intercept
Take any two points and form the equation for a straight line. If all the remaining points satisfy the equation, then they lie on astraight line. Else, they don't. Here's an example. Consider n points as P1(x1, y1), P2(x2, y2), ...., Pn(xn, yn). In order to determine if P1, P2, ..., Pn lie on a straight line, form the straight line equation with P1 and P2 as: y-y1= m * (x - x1), where the slope m = (y2-y1)/(x2-x1). Then try to satisfy this equation by the remaining points P3, P4, ..., Pn. That is, verify the following: Is y3-y1= m * (x3 - x1)? Is y4-y1= m * (x4 - x1)? ... Is yn-y1= m * (xn - x1)? If all of the above is true, then the points lie on a straight line.