The slope of line f is -1/3. What is an equation of line that is perpendicular to line f?
1 answer:
Answer: 3x + y = 0
Step-by-step explanation:
Ley's put it into slope-intercept form (to graph easier)
3x + y = 0
y = - 3x + 0
(Since we were subtracting 3x from both sides -3x results
So now we have it in slope-intercept form.
The formula for the perpendicular line is negative reciprocal
The negative reciprocal of -1/3 is 3x, so we have the negative reciprocal slope
We will convert option three quickly before I graph
9x - 3y = 27
-3y = -9x + 27
y = 3x - 9
So we have the same slope, which is correct. But wrong y-intercept; it needs to be zero since the slope you gave has no y-intercept, so we assume 0.
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Answer:
see explanation
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 )
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2,2) and (x₂, y₂ ) = (8, 5) ← 2 points on the line
m = =
=
the line crosses the y-axis at (0, 1) ⇒ c = 1
y = x + 1 ← equation in slope- intercept form