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Given two points on a graph with coordinates of X1,Y1 and X2,Y2, the slope of a straight line through the two points can be calculated as m=(Y1-Y2)/(X1-X2) The equation for the line can then be written as Y=mX+k, where k is some constant number. Note that m will be positive for lines that slant up from left to right, and negative for lines that slant up from right to left.
Once m is known, k can be found by substituting the values of X1 and Y1 into the equation and solving for k. When k is known, the value of the X axis intercept can be found by setting X to zero and solving the equation for Y. The Y axis intercept value can be found by setting Y to zero and solving for X.
Example: Let x1,Y1=6,4 and X2,Y2=2,2 Solve for m: m=(4-2)/(6-2)=2/4=1/2 Solve for k: Y=mX+k, 4=(1/2)6+k, k=4-3=1 If X=0, Y=(1/2)0+1=1 this is the Y axis intercept point If Y=0, 0=(1/2)X+1, 1/2X=-1, X=-2, this the X axis intercept point
What else can I help you with?
How do you find x with two points and a slope?
The slope is usually derived from the equation y = mx + b where m is the slope and b is the y-intercept. Slope: m = (y2 - y1)/(x2 - x1) As for finding intercepts, for finding the y intercept, look for the b in the equation or make x = 0, for x-intercepts, make y = 0.
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 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)
What are the following points on the line given by the equation y 2x?
As Anand said, the question is vague. However, two important points for any equation are the x and y intercepts. For y = 2x, the x-intercept is (0,0) and the y-intercept is (0,0). Not sure if that helps.
The line whose equation is y equals 4x plus 2 has a y-intercept whose coordinates are?
When finding the y-intercept, plug in x=0 y = 4x + 2 y = 4(0) + 2 y = 2 So your intercept is (0,2)
How do you find Slope intercept equation of given two points?
Use the equation; y=mx+b where m is the slope Use your 2 points as y and b (intercept)
How do you find x with two points and a slope?
The slope is usually derived from the equation y = mx + b where m is the slope and b is the y-intercept. Slope: m = (y2 - y1)/(x2 - x1) As for finding intercepts, for finding the y intercept, look for the b in the equation or make x = 0, for x-intercepts, make y = 0.
How do you use the y-intercept to graph a line?
The y-intercept identifies one point on a line. You need at least two points to determine a straight line.
How can tbe x intercept and y intercept be used to graph a linear equation?
To graph a linear equation, the x-intercept and y-intercept provide two key points on the line. The x-intercept is where the line crosses the x-axis (where y = 0), and the y-intercept is where it crosses the y-axis (where x = 0). By plotting these two points on a Cartesian plane and drawing a straight line through them, you can accurately represent the linear equation. This method is particularly useful for quickly sketching the graph without needing to find additional points.
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 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 graph 3x-y equals -2?
The easy way is to plot the x- and y-intercept points and draw the lines that passes through those two points. If y = 0, then we have 3x = -2and x = -2/3. So the x-intercept point is (-2/3, 0). If x = 0, then we have -y = -2and y = 2. So the y-intercept point is (0, 2). Plot the points and draw the line.
Find intercept of y -25x plus y equals 65?
-25x+y=65-25(0)+y=65y=65When finding a y-intercept you replace the value of xwith 0. The same goes for finding the x-intercept, you replace the value of y with 0 and simplify the equation.
How do you write a equation from two data points?
To write an equation from two data points, first identify the coordinates of the points, typically represented as (x₁, y₁) and (x₂, y₂). Calculate the slope (m) using the formula ( m = \frac{y₂ - y₁}{x₂ - x₁} ). Then, use the slope-intercept form ( y = mx + b ) to find the y-intercept (b) by substituting one of the points into the equation. Finally, write the complete equation of the line.
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)
What is y intercept?
The y-intercept is the point on the graph which touches the y-axis (there can be multiple points).Algebraically, it would be at coordinates ( 0, f(0) ).The y intercept is where the line crosses the y axis
What is the slope intercept of the points -2 being the slope and -1 being the y-intercept?
-1
