Writing The Equation of a Line Given a Point and Slope
Presentation
•
Mathematics
•
9th - 12th Grade
•
Medium
Lucy K
Used 3+ times
FREE Resource
4 Slides • 7 Questions
1
by Lucy Kollmann and A'dreah Hill
2
Introducing Point-Slope Form
If you are given the slope of a line, m, and the coordinates of one point, you can write the equation of a line. Using the point-slope form of an equation y-y1=m(x-x1), substituting the given data and solving for y will put an equation in slope-intercept form.
3
Multiple Choice
What is the point-slope formula?
x-x1=m(y-y1)
y=mx+b
a2+b2=c2
y-y1=m(x-x1)
4
Step 1: Substitute the given data into the formula y-y1=m(x-x1).
Step 2: Distribute the four-thirds with the values in the parentheses.
Step 3: Solve for Y.
NOTE: your answer should ALWAYS end up being in slope-intercept form.
5
Multiple Choice
(3,4), m = (1/2)
y= (1/3)x - (9/2)
y= (1/2)x - (11/2)
x= (1/3)y- (9/2)
y=(1/3)x - (11/2)
6
Multiple Choice
(-1,5), m= (2/5)
y=(2/5)x+(17/3)
y-(17/3)=(2/5)
y=(1/5)+(17/3)
y-(17/3)=(1/5)
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8
Multiple Choice
(-2,-3), m= (-3/4)
y=(4/3)x+(8/1)
y=(4/-3)x-(8/1)
y=(-3/2)x-(9/2)
y= (-3/4)x-(9/2)
9
Multiple Choice
(-2,1), m= (4/3)
y=(3/4)x+(3/4)
y=(4/3)x+(4/3)
I don't know
y=(3/3)x+(4/3)
10
Multiple Choice
(-2,5), m=(1/3)
y=(3/2)x+(3/18)
y=(2/3)x+(18/3)
y=(3/1)x+(3/17)
y=(1/3)x+(17/3)
11
Multiple Choice
(2,-4), m=1
y=x-6
y+6=x
x=7+y
y=x-7
by Lucy Kollmann and A'dreah Hill
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