Equation from Slope and Point

Equation from

Slope and Point

If you have m, x, and y,

then you can find b!

slope

When you are given the slope,

that is the number you use for m.

m es número de slope!

Multiple Choice

The letter m in the equation y = mx + b represents the ______ of the line.

• slope (rate)

• y-intercept (starting point)

• ordered pair

• monkeys

ordered pairs

An ordered pair is TWO numbers

(a pair) in ORDER,

with the x value first EVERY TIME, and the y value second.

It is always in the form (x, y).

dos números en orden,

siempre (x, y)

Multiple Choice

An ordered pair is ALWAYS in the form _______.

• (x, y)

• (y, x)

y-intercept

This is the starting point

or initial value for some

line or situation.

You can think of it as "b" for BEGIN.

Multiple Choice

The letter b in the equation y = mx + b represents the ______ of the line.

• slope

  (rate)

• y-intercept

  (starting point)

• ordered pair

• bears

A line has a slope of 5

and goes through the point (1, 7).

Which parts of y = mx + b do you have?

m = 5, x = 1, y = 7

You have m, x, and y.... so now you can find b!

7 = 5(1) + b

2 = b

A line has a slope of 5

and goes through the point (1, 7).

You have all the parts now.

m = 5, x = 1, y = 7, b = 2

Put the equation together:

y = mx + b

y = 5x + 2

You can check your equation:

y = 5x + 2

Does the point you were given,

(1, 7)

work for this equation?

y = mx + b

7 = 5(1) + 2

Yes, it does!

Multiple Choice

When you are given slope and a point,

you are given which three of the four variables of y = mx + b?

• b, m, x

• m, x, y

• b, x, y

• m, b, x

Multiple Choice

When you are given slope and a point,

you are given m, x, and y.

What is left is what you need to find. You need to find _____.

• m, the slope

• b, the y-intercept

Now it's your turn!

You will be given slope (m) and a point (x, y).

YOU FIND b.

Then you put the equation together as

y = mx + b.

Multiple Choice

A line has a slope of 2 and goes through point (1, 5).

Find b, the y-intercept of this line.

• 0

• 1

• 2

• 3

Multiple Choice

A line has a slope of 2 and goes through point (1, 5).

Hopefully, you did this: 5 = 2(1) + b

Again, what is b?

• 0

• 1

• 2

• 3

Multiple Choice

A line has a slope of 2 and goes through point (1, 5).

Now put together the equation.

If b = 3, what is the equation of this line?

Remember that the slope goes in front of x.

• y = 3x + 2

• y = 3

• y = 2x + 3

Multiple Choice

A line has a slope of 4 and goes through point (2, 9).

Find b, the y-intercept of this line.

• 0

• 1

• 2

• 3

Multiple Choice

A line has a slope of 4 and goes through point (2, 9).

Now put together the equation for this line.

• y = 2x + 9

• y = 4x + 1

• y = x + 4

Multiple Choice

A line has a slope of 3 and goes through point (4, 10).

Find b, the y-intercept of this line.

• -2

• -1

• 1

• 2

Multiple Choice

A line has a slope of 3 and goes through point (4, 10).

Now put together the equation for this line.

• y = 3x + 2

• y = 4x + 10

• y = 3x - 2

You did it!

Whenever you are given SLOPE (m)

and a POINT (x, y),

you can find Y-INTERCEPT (b).

To write the equation,

you only need m and b!

Poll

How are you feeling about this skill?

• I get it!

• It's starting to make sense.

• I am still confused.