How Do You Convert Point-Slope Form to Slope-Intercept Form?

How Do You Convert Point-Slope Form to Slope-Intercept Form?

Because most linear functions are given in slope-intercept form, they can be easier to work with than point-slope form. To convert, you must isolate the y variable, for which you may need a calculator.

  1. Find point-slope form

    Point-slope form is given by relating x and y variables to their values at a specific coordinate and multiplying by the slope. The formula is (y-value(y))=m(x-value(x)), where m is the slope. At the point (1,3), x=1 and y=3. If the slope is 2, the point-slope form of the equation is (y - 3) = 2(x - 1).

  2. Use distribution

    Distribute the slope coefficient to both the x and the x coordinate inside the parentheses. For ( y- 3) = 2(x - 1), rewrite it to (y - 3)=x*(2)-1*(2). Simplify the function to (y - 3) = 2x - 2.

  3. Isolate y

    Isolate y by canceling out any constants or coefficients and transferring them to the other side of the equation. Whenever you perform an operation to one side of the equation, you must do it to the other side as well. For the linear equation y-3=2x-2, you must cancel the 3 subtracted from y. Add 3 to both sides. y -3 + 3 = 2x - 2 + 3 Simplify the equation to y = 2x + 1. In slope-intercept form, the formula is y = mx + b where m is still the slope and b is the value at which the line crosses the y axis. For y = 2x + 1, when x=0, y=1.