Point Slope Form

Point Slope Form

 $y-y_1=m\left(x-x_1\right)$  

Multiple Choice

Which of these represents point-slope form of a linear equation?

• y - y₁ = m(x - x₁)

• Ax + By = C

• y = mx + b

• y=kx

Multiple Choice

Write the equation of the line

in Point-Slope form that goes through

the point (10,5) and has a slope of -3

• y - 5 = -3(x - 10)

• y= -3x + 35

• y + 5= -3(x + 10)

• y= -3x - 35

Multiple Choice

Write the equation in point-slope form

of the line that passes through the point

(4, -7) and has a slope of -1/4.

• y + 7 = -1/4(x - 4)

• y - 4 = -1/4(x + 7)

• y + 7 = 4(x - 4)

• y - 7 = -1/4(x - 4)

Remember to keep all the signs & simplify

NOTE: when you have a negative

 $x_{1\ }or\ y_1$  

Multiple Choice

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
 (-2, -1); m= -3

• y + 1 = -3(x - 2)
• y + 1 = -3(x + 2)
• y - 1 = 3(x - 1)
• y + 2 = -3(x + 1)

Let's take a look the other way...

If I am given an equations can I identify the slope and point?

Multiple Choice

The line with the equation

y + 1 = -3(x - 5),

contains the point (5, -1)

and has a slope of _______.

• -1

• 1

• -3

• 5

Multiple Choice

For the equation
y - 3 = 2(x + 4),
which of the following is true?

• The line has m = 2 passing through the point (4, -3)
• The line has m = 2 passing through the point (3, -4)
• The line has m = 2 passing through the point (-4, 3)
• The line has m = 2 passing through the point (-3, 4)