Question

Please help with the following:
1.Write the equation y=-1/2x + 3 in stand form.
2. Write the equation 9x + 2y = 6 in slope-intercept form.
3. Write the equation y-3=4(x+1) in standard form.
4.Write the equation y+7=-2(x-3) in slope-intercept form.
5. Write the equation y-5=3(x-2) is written in point-slope form. Please provide in A) slope-intercept form and B) standard form.
Thanks for the help.

Answer 1

slope intercept form : y = mx + b
standard form : Ax + By = C -- it cannot contain fractions

y = -1/2x + 3 --- when you have a fraction, and you do not want one, multiply the entire equation by the common denominator, which in this case, is 2.
2(y = -1/2x + 3) =
2y = -1x + 6 -- add x to both sides
x + 2y = 6 -- standard form

9x + 2y = 6 -- we want y term by itself, so we subtract 9x from both sides
9x - 9x + 2y = -9x + 6 -- combine terms
2y = -9x + 6 -- divide both sides by 2
y = -9/2x + 6/2 -- reduce if possible
y = -9/2x + 3

Now lets see what you can do with the rest of them.

Answer 2

Thanks for the help Texaschic101.