Point Slope Form to Standard Form

How to convert?

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

Video Tutorial

on Point Slope to Standard Form

Example

of Converting from Point Slope to Standard Form

Convert y-3 = 5(x-4) to standard form.

Step 1

Distribute 'm' or the slope to x −x1

step 1
Step 2

Move y1 to the other side by adding its opposite to both sides of the equation and simplify

step 2
Step 3

"Move" the x term to the other side by adding its opposite to both sides

Step 3

Use our Calculator

You can use the calculator below to find the equation of a line from any two points. Just type numbers into the boxes below and the calculator (which has its own page here) will automatically calculate the equation of line in point slope and slope intercept forms

(x1,y1) ,
(x2,y2) ,
Clear
Toggle Points
loading and calculating...

Answer:
$ $

( Try this 'equation from 2 points' calculator on its own page here . )

Clear
Toggle Points

Practice Converting Equations

Practice 1

Convert (y-2) = -5(x-1) to standard form.

Step 1

Distribute 'm' or the slope to x −x1

step 1
Step 2

Move y1 to the other side by adding its opposite to both sides of the equation and simplify

step 1
Step 3

"Move" the x term to the other side by adding its opposite to both sides

step 1
Practice 2

Convert (y+2) = -4(x+3) to standard form.

Step 1

Distribute 'm' or the slope to x −x1

step 1
Step 2

Move y1 to the other side by adding its opposite to both sides of the equation and simplify

step 1
Step 3

"Move" the x term to the other side by adding its opposite to both sides

step 1
Practice 3

Convert to standard form.

Step 1

Distribute 'm' or the slope to x −x1

step 1
Step 2

Move y1 to the other side by adding its opposite to both sides of the equation and simplify

step 1
Step 3

"Move" the x term to the other side by adding its opposite to both sides

step 1
Step 4

An optional step, but if you want integer coefficients, then multiply by the least common multiple of the fractions in the equation

step 1
Practice 4

Convert to standard form.

Step 1

Distribute 'm' or the slope to x −x1

step 1
Step 2

Move y1 to the other side by adding its opposite to both sides of the equation and simplify

step 1
Step 3

"Move" the x term to the other side by adding its opposite to both sides

step 1
Step 4

An optional step, but if you want integer coefficients, then multiply by the least common multiple of the fractions in the equation

step 1
back to Point Slope Form next to Standard Form

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