I do not understand point-slope and standard form. Please help me.

Can you be more specific with your question?

Is the "standard form" y = mx + b ?

Example: point slope is y+5=-4/1(x+3)

y + 5 = 4(x+3)

y + 5 = 4x + 12

subtract 5 on both sides.

y = 4x + 7

subtract 4x on both sides.

-4x + y = 7

divide both sides by -1.

[[ 4x - y = -7 ]]

You can search on websites and have some examples like this one

Thanks!

How would you know whether to add or subtract?

Solve for y = mx + b or y - y1 = m (m - x1). Your line will be in slope intercept form.

Now add/subtract/multiply/divide in order to get to Ax + By = C, where A,B&C are non-fractions and A>0.

For example: Write the equation of a line in standard form that has a slope of 4 and passes through (-3,5).

y - y1 = m (x - x1)

y - 5 = 4 (x - (-3))

y - 5 = 4x + 12

Add 5 to both sides.

y = 4x + 17

Subtract 4x from both sides to get the variables on the same side.

-4x + y = 17

The pattern for Standard Form shows that the coefficient with x can't be negative when it expresses A>0. So, multiply everything by -1, keeping in mind you can do anything to an equation and it will remain true as long as you do it to both sides.

-1(-4x + y = 17)

4x - y = -17

brightstorm is a website you can get all of this. I got all of this from it but i forgot how to put a link on it

Thank you.

Sure! I'll explain both point-slope and standard form and how to use them.

1. Point-Slope Form:
Point-slope form is an equation that represents a straight line in the form of y - y₁ = m(x - x₁), where (x₁, y₁) represent the coordinates of a point on the line, and "m" represents the slope of the line.

To use point-slope form, you need the coordinates of a point on the line and the slope of the line. Plug these values into the equation to write the equation of the line.

Example: Let's say we have a line with a slope of 2 and passes through the point (3, 4). The equation using point-slope form would be y - 4 = 2(x - 3).

2. Standard Form:
Standard form represents a straight line as Ax + By = C, where A, B, and C are constants and A and B are not zero simultaneously. In standard form, the coefficients of x and y are integers, and A is positive.

To convert an equation to standard form, rearrange the equation so that the coefficients of x and y are integers, and the equation satisfies the criteria mentioned above.

Example: Let's convert the point-slope equation y - 4 = 2(x - 3) to standard form. Simplify the equation to get y - 4 = 2x - 6, and further rearrange it to obtain -2x + y = -2.

To convert standard form to point-slope form, you need to rearrange the equation as y - y₁ = m(x - x₁). First, solve for y to get y = mx - mx₁ + y₁. Then, rearrange the equation to match the point-slope form.

I hope this helps! Let me know if you have any more questions.