How do you write an equation with two sets of points?

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How do you write an equation with two sets of points?

Steps to find the equation of a line from two points:

  1. Find the slope using the slope formula.
  2. Use the slope and one of the points to solve for the y-intercept (b).
  3. Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

What is the slope-intercept form of the linear equation − 3x − 2y 30?

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Subtract 3x 3 x from both sides of the equation. Divide each term by 2 2 and simplify. Divide each term in 2y=30−3x 2 y = 30 – 3 x by 2 2 .

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What are the steps using slope and one point?

Plot the given point, the y y -intercept (0,2) ( 0 , 2 ) . Use the slope formula m=riserun m = rise run to identify the rise and the run. Starting at (0,2) ( 0 , 2 ) , count the rise and the run and mark the second point. Connect the points with a line.

How do I write an equation in standard form?

The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it’s pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.

What is the slope of the graph of y 2x?

2
For the equation y=2x , the slope is 2 and the y-intercept is 0 .

What is the equation of this graphed line?

To find the equation of a graphed line, find the y-intercept and the slope in order to write the equation in y-intercept (y=mx+b) form. Slope is the change in y over the change in x. Find two points on the line and draw a slope triangle connecting the two points.

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How do you find slope with points?

How to find the equation of a line with slope and coordinates of a point?

  1. Identify the point coordinates: x1 = 2 , y1 = -3 .
  2. Identify the slope: m = 2.
  3. Input the values into the point slope form formula: y – y1 = m (x – x1) y – (-3) = 2(x – 2)
  4. Simplify to get the general equation: y = 2x – 4 -3. 0 = 2x – y – 7.