Jasten
04.07.2019 •
Mathematics
What is the equation of the line in slope oterceptform that passes through the point(2,-1) and is parallell to the line represented by the equation 2x-y=6
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Ответ:
y = 2x - 5
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange 2x - y = 6 into this form ( subtract 2x from both sides )
- y = - 2x + 6 ( multiply through by - 1 )
y = 2x - 6 ← in slope -intercept form with slope m = 2
Parallel lines have equal slopes
the partial equation is y = 2x + c
to find c substitute (2, - 1 ) into the partial equation
- 1 = 4 + c ⇒ c = - 1 - 4 = - 5
y = 2x - 5 ← equation of parallel line
Ответ:
One solution.
Step-by-step explanation:
So we have:
2x + 3 = 4x + 2
Simplifying gives;
4x - 2x = 3 - 2
2x = 1
x = 1/2
There is only one solution here.
*Note: This questions are simple. You just have to do a little more practice on algebra if you are stuck.