How Do You Put an Equation in Point-Slope Form Into Standard or Slope-Intercept Form?

Standard form of a linear equation is Ax+By=C
To put a line in standard form, we need our 'x' and 'y' terms on one side and our constant term on the other
Slope-intercept form of a linear equation is y=mx+b
To put a linear equation in slope-intercept form, we need to get 'y' by itself on one side

1. Standard form of a linear equation is Ax+By=C
1. Standard form of a linear equation is Ax+By=C
1. Multiply the 2 by each term in the parentheses to distribute
1. We want to get 'x' and 'y' on the same side and anything without an 'x' or 'y' on the other side
2. This will put our equation in standard form
1. 2x-y=2 and 2=2x-y mean the same thing - it doesn't matter what side of the equals sign things are on
1. Slope-intercept form of a line is y=mx+b
2. 'm' represents the slope of the line
3. 'b' represents the y-intercept of the line
1. Slope-intercept form of a line is y=mx+b
2. 'm' represents the slope of the line
3. 'b' represents the y-intercept of the line
1. The slope tells you how steep the line is
2. The y-intercept is where the line crosses the y-axis, or the vertical axis
1. To put a linear equation in slope-intercept form, we need to get 'y' by itself on one side
1. Multiply the 2 by each term in the parentheses to distribute
1. Remember, slope-intercept form is y=mx+b
2. So we want to get 'y' by itself on one side of the equation
1. Adding 4 to both sides moves the 4 to the other side of the equals sign
2. This leaves 'y' by itself on the left hand side
3. The slope, 'm', of our line is 2
4. The y-intercept, 'b', of our line is -2

Convert the following equation of a line in point-slope form to an equation in 1) standard form and B) slope-intercept form.