Suppose the points are P = (r,s) and Q = (t,u)
Then gradient of PQ = (u - s)/(t - r) = m, say.
Let Z = (x,y) be any point on the line. Then gradient ZP also = m
that is (y - s)/(x - r) = m
Equating the two expressions for m,
(y - s)/(x - r) = (u - s)/(t - r)
or y - s = (x - r)*(u - s)/(t - r)
y = (x - r)*(u - s)/(t - r) + s = x*m - r*m - s
This is of the form y = mx + b, where m is as defined above and b = -r*m + s
you put the y intercept at 2, the x intercept at -2/3 and you join those two points.
When you are working with y=mx+b, (x,y) is a coordinate on the line, m is the slope, and b is the y intercept. You simply plot the y intercept and then pick a random value for x or y and solve the equation. This gives you two points on the line that you can connect creating a continuous line on the plane.
6x - 3y = 12y intercept at x = 0 is y = 4x intercept at y = 0 is x = 2the graph is straight line passing through the two points: (0, 4) and (2, 0)
Say your two points are (-1,-2) and (3,4). Your y intercept is where the line your two points make crosses the y axis. You find this by taking one of your coordinates, (3,4) and you substitute it into the equation y = mx + c. y = mx + c 4 = 3x + c 4 - 3 = c c = 1 The first number in your coordinate is your x value and the second is your y value. (x,y)
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All points whose y-coordinate is twice its x-coordinate.
you put the y intercept at 2, the x intercept at -2/3 and you join those two points.
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If: x-y = -2 then the x intercept is -2 and the y intercept is 2 So the points are: (-2, 0) and (0, 2)
The x intercept is at (84, 0) and the y intercept is at (0, 112) and so with a line join the points together which then will form a graph for the given equation.
y - 4 = 2x +1y = 2x + 5The two intercept points are (0, 5) and (-5/2, 0)
The x intercept is at (84, 0) and the y intercept is at (0, 112) and so with a line join the points together which then will form a graph for the given equation.
The simplest way is to convert the equation into slope-intercept form y=Mx+B M is the slope and B is the y-intercept If you are given two points (X,Y) and (x,y) then you can use the following formula formula M=(Y-y)/(X-x) Other ways are possible and sometimes easier, but you will almost always be able to use these two
the coordinate plane is a map of points
If the reference points are not correct, the location of any coordinate will be incorrect.
If we have an x-y coordinate plane, then the y-intercept is 5. That means that when x is 0, y is 5. From that intercept, go up 3 units and right 1 unit and place your second point. The line goes through these two points (0,5) and (1,8) and continues to go up 3 squares for each square to the right.
When you are working with y=mx+b, (x,y) is a coordinate on the line, m is the slope, and b is the y intercept. You simply plot the y intercept and then pick a random value for x or y and solve the equation. This gives you two points on the line that you can connect creating a continuous line on the plane.