Equation of a Line Given Two Points

Presentation

•

Mathematics

•

9th - 12th Grade

•

Hard

Joseph Anderson

FREE Resource

5 Slides • 22 Questions

SLOPE and Y-intercept

An equation is written as y=mx + b
m= Slope
b= y intercept

Poll

Which questions can you answer correctly by now?

Reorder

When finding the equation of line between two points, what order must you follow?

Find the slope (average rate of change) between the 2 points

Substitute the $m$ , or slope, into the equation $y=mx+b$

Substitute an $x\ and\ y$ coordinate into the equation $y=mx+b$

Solve for $b$

Substitute the $m$ and $b$ into $y=mx+b$ form of a line

On our mark...Get set...Get something to write with!

Ready?!

Raise your hand if you get stuck. We'd love to help.

Don't forget...

Fill in the Blanks

When writing the slope-intercept form of the equation of the line through the given points $\left(3,2\right)\ and\ \left(2,4\right)$ you discover that the rate of change, or slope, is_

Type answer...

Fill in the Blanks

When writing the slope-intercept form of the equation of the line through the given points $\left(3,2\right)\ and\ \left(2,4\right)$ you discover that the slope, is $-2.$ You then substitute the slope and first point into the equation $2=-2\left(3\right)+b$ and find that $b=$

Type answer...

Drag and Drop

When writing the slope-intercept form of the equation of the line through the given points

\left(3,2\right)\ and\ \left(2,4\right)

you discover that the slope is

m=-2.

You then substitute the slope and first point into the equation

2=-2\left(3\right)+b

and find that

b=8

.

The equation of the line is

Drag these tiles and drop them in the correct blank above

Fill in the Blanks

When writing the slope-intercept form of the equation of the line through the given points $\left(-1,3\right)\ and\ \left(1,-1\right)$ you discover that the rate of change, or slope, is_

Type answer...

Fill in the Blanks

When writing the slope-intercept form of the equation of the line through the given points $\left(-1,3\right)\ and\ \left(1,-1\right)$ you discover that the slope, is $-2.$ You then substitute the slope and first point into the equation $3=-2\left(-1\right)+b$ and find that $b=$

Type answer...

Drag and Drop

When writing the slope-intercept form of the equation of the line through the given points

\left(-1,3\right)\ and\ \left(1,-1\right)

you discover that the slope, is

-2.

You then substitute the slope and first point into the equation

3=-2\left(-1\right)+b

and find that

b=1.

Which is the correct equation of the line?

Drag these tiles and drop them in the correct blank above

Try this yourself...

Multiple Choice

Which equation represents the line that passes through the points $\left(-3,7\right)$ and $\left(3,3\right)$ ?

$y=\frac{2}{3}x+1$

$y=\frac{2}{3}x+9$

$y=-\frac{2}{3}x+5$

$y=-\frac{2}{3}x+9$

Multiple Choice

What is an equation for the line that passes through the coordinates $\left(2,0\right)$ and $\left(0,3\right)$ ?

$y=-\frac{3}{2}x+3$

$y=-\frac{3}{2}x-3$

$y=-\frac{2}{3}x+2$

$y=-\frac{2}{3}x-2$

Multiple Choice

Which equation represents the line that passes through the points $\left(1,1\right)$ and $\left(-2,7\right)$ ?

$y=-2x+9$

$y=-2x+3$

$y=-\frac{1}{2}x+8$

$y=-\frac{1}{2}x+6$

Multiple Choice

What is an equation of the line that passes through the points $\left(2,1\right)$ and $\left(6,-5\right)$ ?

$y=-\frac{3}{2}x-2$

$y=-\frac{3}{2}x+4$

$y=-\frac{2}{3}x-1$

$y=-\frac{2}{3}x+\frac{7}{3}$

Multiple Choice

What is an equation of the line that passes through $\left(-2,3\right)$ and $\left(6,1\right)$ ?

$y=-\frac{1}{2}x+2$

$y=-\frac{1}{2}x+4$

$y=2x+7$

$y=2x-1$

Multiple Choice

What is the y- intercept of the graph of y = -5x + 6

-5

-6

Multiple Choice

What is the y-intercept of the line graphed below?

-3

4/3

Multiple Choice

Which equation represents the following graph?

y = 3x + 2

y = -2x + 3

y = 2x + 3

y = -3x + 2

Multiple Choice

Which equation is being represented by this line?

y = -1x + 2

y = 1/2x + 2

y = 3x -4

y = -3x +2

Multiple Choice

What does the "b" stand for in y=mx+b?

slope

x-intercept

y-intercept

Multiple Choice

What letter represents the slope of a line in the equation y = mx + b?

Multiple Choice

What is the y-intercept, also known as the "b" value, of the line y = 4x + 10?

Spring Break

Multiple Choice

Find the slope

-5/7

7/5

-7/5

5/7

Multiple Choice

Write the equation of the line.

y = x + 1

y= x - 1

y= -x + 1

y= -x - 1

SLOPE and Y-intercept

An equation is written as y=mx + b
m= Slope
b= y intercept

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