# L4-5, Writing Equations In Point-Slope Form

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Standard 7.0 Student verify that a point lies
on a line, given an equation of the line.
Students are able to derive linear equations
by using the point-slope formula.
L4-5, Writing Equations in Point-Slope Form
So far, we know TWO forms of a linear equation…
Standard Form
Slope-Intercept Form
There’s one more form, you need to know…
Point-Slope Form
y - ____ = ____ (x - ____ )
_____________________
_____________
***It is imperative that you notice the MINUS signs!***
Write an equation given slope and a point
Write the point-slope form of an equation for the
Write the point-slope form of an equation
line that passes through (1 -5) with slope -3.
for the line that passes through (1, -4)
with the slope -2.
1. Determine: m = _____; (x
, y
) = (___, ____)
1
1
2. Write the point-slope form:
3. Replace m and (x
, y
) with values.
1
1
4. Simplify.
Same as Pg 219 example 1
Changing the forms of a linear equation
Write y – 1 = 7(x + 5) in standard form.
Write y – 1 = 7(x + 5) in slope-intercept form
1. Distribute the 7.
1. Distribute the 7.
2. Get x and y on the same side of the =.
2. Get y by itself.
(Hint: Make sure x is first)
≥0, so multiply each side by -1
3. The rule is A
Similar to Pg 221 example 4
Similar to Pg 221 example 5

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