Equation of a Line from Slope and a Point.

Poll

Which equation is slope-intercept form?

• $$2x-3y=7$$

• $$y-2=-3\left(x+5\right)$$

• $$y=5x-3$$

Multiple Choice

After watching the video, which method are we going to concentrate on for this lesson?

• Using a table

• Working with a graph

• Substituting into an equation

• None of these.

Multiple Choice

Regents Question: "What is an equation of the line that passes through the point $$\left(3,-1\right)$$ and has a slope of $$2$$ ?"

Which is the correct substitution of the formula $$y=mx+b$$ ?

• $$3=-2\left(-1\right)+b$$

• $$3=2\left(-1\right)+b$$

• $$-1=2\left(3\right)+b$$

• $$-1=2\left(-3\right)+b$$

Multiple Choice

Regent's Question: "What is an equation of the line that passes through the point $$\left(3,-1\right)$$ and has a slope of $$2$$ ?"

Using $$y=mx+b$$ we substitute the $$m,\ x,\ and\ y-values$$ to get $$-1=2\left(3\right)+b$$ . What is the value of $$b$$ ?

• $$b=-4$$

• $$b=5$$

• $$b=-6$$

• $$b=-7$$

Multiple Choice

Regent's Question: What is an equation of the line that passes through the point $$\left(3,-1\right)$$ and has a slope of $$2$$ ?

• $$y=2x+5$$

• $$y=2x-7$$

• $$y=2x-1$$

• $$y=2x-4$$

Multiple Choice

What is the value of $$m$$ ?

• $$1$$

• $$5$$

• $$2$$

• $$-2$$

Multiple Choice

What is the value of x?

• $$1$$

• $$5$$

• $$2$$

• $$-2$$

Multiple Choice

What is the value of $$y$$ ?

• $$1$$

• $$5$$

• $$2$$

• $$-2$$

Multiple Choice

What is the value of $$b$$ ?

• $$-7$$

• $$3$$

• $$11$$

• $$7$$

Multiple Choice

Which equation represents the line that passes through the point $$\left(1,5\right)$$ and has a slope of $$-2$$ ?

• $$y=-2x+7$$

• $$y=-2x+11$$

• $$y=2x-9$$

• $$y=2x+3$$

Multiple Choice

$$b=$$

• $$b=-2$$

• $$b=-22$$

• $$b=2$$

• $$b=22$$

Multiple Choice

What is an equation of the line that passes through the point $$\left(-2,-8\right)$$ and has a slope of $$3$$ ?

• $$y=3x+22$$

• $$y=3x+2$$

• $$y=3x-22$$

• $$y=3x-2$$

Reorder

Reorder the following

What is the equation of the line that passes through the point $$\left(3,-7\right)$$ and has a slope of $$-\frac{4}{3}$$ ?

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Reorder

Reorder the following

What is the equation of the line that passes through the point $$\left(4,\ 5\right)$$ and has a slope of $$\frac{1}{2}$$ ?

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Multiple Choice

What is the equation of the line that passes through the point $$\left(5,0\right)$$ and has a slope of $$-2$$

• $$y=-2x+10$$

• $$y=5x+10$$

• $$y=-5x+10$$

• $$y=-4x+10$$

Multiple Choice

What is the equation of the line that passes through the point $$\left(1,5\right)$$ and has a slope of $$2$$

• $$y=3x+2$$

• $$y=-4x+2$$

• $$y=-3x+2$$

• $$y=2x+3$$

Multiple Choice

What is the equation of the line that passes through the point $$\left(1,5\right)$$ and has a slope of $$6$$

• $$y=x-1$$

• $$y=6x-1$$

• $$y=-x-3$$

• $$y=-3x-1$$

Multiple Choice

What is the equation of the line that passes through the point $$\left(4,5\right)$$ and has a slope of $$3$$

• $$y=-2x-3$$

• $$y=3x-7$$

• $$y=-3x-2$$

• $$y=-7x-3$$

Multiple Choice

What is the equation of the line that passes through the point $$\left(-5,1\right)$$ and has a slope of $$2$$

• $$y=11x+2$$

• $$y=-2x+11$$

• $$y=-11x+2$$

• $$y=2x+11$$

Open Ended

Here is another regents question that requires us to find the equation of a line. How is this question different from the questions in this lesson?