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How do you convert 2 coordinate points into slope intercept form y equals mx plus b?
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
What else can I help you with?
How do you graph the line if y equals 3x plus 2?
you put the y intercept at 2, the x intercept at -2/3 and you join those two points.
How do you graph a line if given the equation in slope intercept form?
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.
Graph the equation 6x-3y equals 12?
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)
How do you find the y-intercept of two points?
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)
How do you Graph a line with a slope passing through the point 4-3?
7
What points are on the line given by the equation y equals 2x?
All points whose y-coordinate is twice its x-coordinate.
How do you graph the line if y equals 3x plus 2?
you put the y intercept at 2, the x intercept at -2/3 and you join those two points.
What is the y-intercept of 8 and -9?
17
How do you graph 4x 3y equals 336?
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.
How do you graph the linear equation X-Y equals -2?
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)
Y minus 4 equals 2x plus 1 in intercept form?
y - 4 = 2x +1y = 2x + 5The two intercept points are (0, 5) and (-5/2, 0)
How do you graph 4x plus 3y equals 336?
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.
How do you change two points into slope-intercept form?
To convert two points into slope-intercept form (y = mx + b), first calculate the slope (m) using the formula (m = \frac{y_2 - y_1}{x_2 - x_1}), where ((x_1, y_1)) and ((x_2, y_2)) are the given points. Next, use one of the points and the slope to solve for the y-intercept (b) by substituting the values into the equation. Finally, rewrite the equation in the form y = mx + b using the calculated slope and y-intercept.
How do you find the slope when the coordinate plane is unavailable?
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
How do you map a coordinate plane?
the coordinate plane is a map of points
What does the graph for y equals 3x plus 5 look like?
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.
How important are the reference points in a coordinate system?
If the reference points are not correct, the location of any coordinate will be incorrect.
