SOLUTION: What is the equation in slope intercept form of the line that passes through (5,-7) and (2,1)?
What is the equation in standard form that passes through the point (-2,6) and has
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Question 173208: What is the equation in slope intercept form of the line that passes through (5,-7) and (2,1)?
What is the equation in standard form that passes through the point (-2,6) and has a slope of 4?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 1
Problem:
What is the equation in slope intercept form of the line that passes through (5,-7) and (2,1)?
Solution:
First let's find the slope of the line through the points )
and )
Start with the slope formula.
Plug in , , , and
Subtract from to get
Subtract from to get
Reduce
So the slope of the line that goes through the points and is
Now let's use the point slope formula:
Start with the point slope formula
Plug in , , and
Rewrite as
Distribute
Multiply
Subtract 7 from both sides.
Combine like terms. note: If you need help with fractions, check out this solver.
Simplify
So the equation that goes through the points and is
# 2
Problem:
What is the equation in standard form that passes through the point (-2,6) and has a slope of 4
Solution:
If you want to find the equation of line with a given a slope of which goes through the point (-2,6), you can simply use the point-slope formula to find the equation:
---Point-Slope Formula---
where is the slope, and )
is the given point
So lets use the Point-Slope Formula to find the equation of the line
Plug in , , and (these values are given)
Rewrite as
Distribute
Multiply and to get
Subtract from both sides.
Add 6 to both sides.
Combine like terms.
Multiply EVERY term by -1 to make the "x" coefficient positive.
-----------------------------------
Answer:
So the equation in standard form that has a slope of 4 and passes through the point (-2,6) is
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