Standard Form to Point Slope Form

How to convert from Ax + By = C to y -y₁ =m(x-x₁)

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Related Links Equation of Line Formula | Slope Intercept Form | Standard Form of Line
Linear Equations Worksheets (standard form, slope intercept form and more)

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It is a common task to have to convert the equation of a line from standard form to point slope form.

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Convert 3x + 5y = 15. to point slope form.

Step 1) Isolate the 'y' term

Step 2) Multiply all terms by the multiplicative inverse of the coefficient of y

Step 3) Simplify

Step 4) Substitute a convenient value of x into your equation and solve for y (You're doing this to get the point x1,y1). Let's choose x=5. Yes, you could choose x=0 and make your life really easy!Then substitute the x and y values that found into the point slope formula.

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Convert 3y − 2x = −12 to point slope form.

Step 1) Isolate the 'y' term

Step 2) Divide all terms by the coefficient of y

Step 3) Simplify

Step 4) Substitute a convenient value of x into your equation and solve for y (You're doing this to get the point x1,y1). Let's choose x = 3. Yes, you could choose x=0 and make your life really easy!Then substitute the x and y values that found into the point slope formula.

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Convert 4y − 5x = 20 to point slope form.

Step 1) Isolate the 'y' term

Step 2) Multiply all terms by the multiplicative inverse of the coefficient of y

Step 3) Simplify

Step 4) Substitute a convenient value of x into your equation and solve for y (You're doing this to get the point x1,y1). Let's choose x = 4. Yes, you could use x=0 and make your life really easy!Then substitute the x and y values that found into the point slope formula.

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Convert 2x + 3y = 18 to point slope form.

Step 1) Isolate the 'y' term

Step 2) Multiply all terms by the multiplicative inverse of the coefficient of y

Step 3) Simplify

Step 4) Substitute a convenient value of x into your equation and solve for y (You're doing this to get the point x1,y1). Let's choose x = 3. Yes, you could use x=0 and make your life really easy! Then substitute the x and y values that found into the point slope formula.

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Convert the equation to point slope form.

Step 1) Isolate the 'y' term

Step 2) Multiply all terms by the multiplicative inverse of the coefficient of y

Step 3) Simplify

Step 4) Substitute a convenient value of x into your equation and solve for y (You're doing this to get the point x1,y1). Let's choose x = 5. Yes, you could use x=0 and make your life really easy! Then substitute the x and y values that found into the point slope formula.

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Convert to point slope form.

Step 1) Isolate the 'y' term

Step 2) Multiply all terms by the multiplicative inverse of the coefficient of y .

Step 3) Simplify

Step 4) Substitute a convenient value of x into your equation and solve for y (You're doing this to get the point x1,y1). Let's choose x =4. Yes, you could use x=0 and make your life really easy! Then substitute the x and y values that found into the point slope formula.

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Related Links: Linear Equations| Equation of Line Formula | Slope Intercept Form | Standard Form of Line | Point Slope to Standard Form
Linear Equations Worksheets (standard form, slope intercept form and more)

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