Find the equation in slope-intercept form that describes a line through (4, –2) with slope –3
2 answers:
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Answer:
y = - x
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 4x - 3y = 3 into this form
subtract 4x from both sides
- 3y = - 4x + 3 ( divide all terms by - 3 )
y = x - 1 ← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= -
y = - x + c ← is the partial equation
To find c substitute (- 4, 3) into the partial equation
3 = 3 + c ⇒ c = 3 - 3 = 0
y = - x ← equation of line