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jdobes9578
03.11.2020 •
Mathematics
What is the equation in slope-intercept form of the line that passes through the point (-1,-1) and is perpendicular to the line represented by y = 1/2x +5?
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Ответ:
y = - 2x - 3
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 )
y =
x + 5 ← is in slope- intercept form
with slope m =![\frac{1}{2}](/tpl/images/0863/1645/9cdae.png)
Given a line with slope m then the slope of a line perpendicular to it is
y = - 2x + c ← is the partial equation
To find c substitute (- 1, - 1) into the partial equation
- 1 = 2 + c ⇒ c = - 1 - 2 = - 3
y = - 2x - 3 ← equation of perpendicular line
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