Download Write and graph lines in point-slope form and standard form

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Transcript 
INDICATOR 15
Write and graph lines in point-slope form and
standard form
POINT – SLOPE FORM
An equation of a nonvertical line with slope m and
through point (x1, y1) is
y – y1 = m(x – x1)
EXAMPLE 1
A line passes through (8, -4) and has a slope 2/3. What is
an equation in point-slope form of the line?
EXAMPLE 2
What is the graph of the equation y + 7 = -4/5(x – 4)?
EXAMPLE 3
Use the points (-2, -3) and (1, 4) to write an equation of a
line.
STANDARD FORM
Standard form is Ax + By = C, where A, B and C are real
numbers and A and B are not both zero.
EXAMPLE 4
What are the x- and y-intercepts of the graph of each equation?
a. 5x – 6y = 60
b. 3x + 8y = 12
EXAMPLE 5
Graph 2x + 5y = 20
EXAMPLE 6
What is the graph of each equation?
a. x = 4
b. x = -1
c. y = 0
d. y = 1
EXAMPLE 7
Write y – 2 = -1/3(x + 6) in standard form using integers.
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