How to solve 7x-5=6x-4
1 answer:
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Answer:
(1/4, ln(1/2))
Step-by-step explanation:
The slope of the given line is -1/4, so the perpendicular line will have a slope of -1/(-1/4) = 4.
The slope of the given function is its derivative:
y' = 2/(2x) = 1/x
That will have a value of 4 when x = 1/4.
The point on the graph where the slope is 4 is (x, y) = (1/4, ln(1/2)).
Answer:
x - 2y = 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x - 2y = 6 ( subtract x from both sides )
- 2y = - x + 6 ( divide both sides by - 2 )
y = x - 3 ← in slope- intercept form
with slope m =
Parallel lines have equal slopes, thus
y = x + c ← is the partial equation
To find c substitute (- 6, - 8) into the partial equation
- 8 = - 3 + c ⇒ c = - 8 + 3 = - 5
y = x - 5 ← in slope- intercept form
Multiply through by 2
2y = x - 10 ( subtract 2y from both sides )
0 = x - 2y - 10 ( add 10 to both sides )
10 = x - 2y, that is
x - 2y = 10 ← in standard form