SOLUTION: Through :(-4,-4), parallel to x=0

Algebra.Com
Question 655406: Through :(-4,-4), parallel to x=0
Found 2 solutions by nerdybill, MathLover1:
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
Through :(-4,-4), parallel to x=0
.
Since x=0 is a vertical line.
The only vertical line that passes (-4,4) is
x = -4
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
Slope Intercept form:


=?

=?
Find:
Since you know your line is parallel to then we know it is a line on the that has points of [(0,1), (0,2), etc...]
take points: (0,1) and given point (-4,-4)
...







So.... back to





Finally or



or, you can find it this way: first slope, then equation of line through the given point and slope


Solved by pluggable solver: FIND a line by slope and one point

What we know about the line whose equation we are trying to find out:

  • it goes through point (-4, -4)

  • it has a slope of -0.75



First, let's draw a diagram of the coordinate system with point (-4, -4) plotted with a little blue dot:



Write this down: the formula for the equation, given point and intercept a, is

(see a paragraph below explaining why this formula is correct)

Given that a=-0.75, and , we have the equation of the line:



Explanation: Why did we use formula ? Explanation goes here. We are trying to find equation y=ax+b. The value of slope (a) is already given to us. We need to find b. If a point (, ) lies on the line, it means that it satisfies the equation of the line. So, our equation holds for (, ): Here, we know a, , and , and do not know b. It is easy to find out: . So, then, the equation of the line is: .

Here's the graph:
RELATED QUESTIONS

through:(4,-4), parallel to y... (answered by Alan3354)
Parallel to x-y=4 and passing through... (answered by MathLover1)
parallel to x-y= 4 and passing through... (answered by tommyt3rd)
Find the equation of the line parallel to 2y = –x + 3 which passes through (0,... (answered by checkley75)
through(1,5); parallel to... (answered by ReadingBoosters)
I need help with the question through (4,-4), parallel to y=-x-4 (answered by josgarithmetic,greenestamps)
Draw l, through (-4, 0) and (0, 6). What is the slope of any line parallel to l1? Draw... (answered by user_dude2008)
Draw l1 through (-4, 0) and (0, 6). What is the slope of any line parallel to l1? Draw... (answered by solver91311)
Draw L1 through (-4, 0) and (0,6). What is the slope of any line parallel L1? Draw L2... (answered by checkley71)