the slope-intercept form of an equation of the line perpendicular to the graph of x – 3y = 5 and passing through (0, 6).
1 answer:
Answer:
y = - 3x + 6
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 )
Rearrange x - 3y = 5 into this form
Subtract x from both sides
- 3y = - x + 5 ( divide all terms by - 3 )
y = x -
← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= - 3
Note the line crosses the y- axis at (0, 6) ⇒ c = 6
y = - 3x + 6 ← equation of perpendicular line
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