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How Do You Use Point-Slope Form to Write an Equation from a Table?

Write an equation in slope-intercept form that represents the linear function given in the table.

Summary

  1. Slope-intercept form is: y = mx+b.
  2. Slope tells you how steep a line is.
  3. The y-intercept is the point where a line intersects the y-axis.
  4. The x-coordinate is the position along the x-axis that a point is located.
  5. The y-coordinate is the position along the y-axis that a point is located.

Notes

    1. Slope-intercept form is: y = mx+b.
    2. 'b' represents the y-intercept, which is the point where the line intersects the y-axis.
    3. 'm' represents the slope, which tells you how steep the line is
    1. Point-slope form of a line is (y-y1) = m(x-x1)
    2. Again, 'm' represents the slope of the line
    3. (x1, y1) is a point on the line
    4. We'll pick the coordinates (2007, 95) and (2009, 129) from our table to plug into our equation
    5. We'll plug (2007, 95) in for (x1, y1) and (2009, 129) in for (x, y)
    6. Then we'll be able to solve for 'm'
    1. First simplify both sides of the equation by subtracting
    2. Then divide both sides of the equation by 2 to get m by itself.
    1. Since we now have the slope and a point on the line, we can write its equation in point-slope form
    2. Then we'll be able to rewrite the equation in slope-intercept form
    3. Point-slope form is: y - y1 = m(x - x1)
    1. To put the equation in slope-intercept form, we just need to solve for y
    2. Distribute the 17 to get 17x - 34,119.
    3. Then add 95 to both sides to get y by itself