What is the equation of a line that contains the point (2,1) and is perpendicular to the line: y = 3x – 4?
1 answer:
You might be interested in
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 )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, - 2) and (x₂, y₂ ) = (5, 4) ← 2 points on the line
m = =
=
, thus
y = x + c ← is the partial equation of the line
To find c substitute either of the 2 points into the partial equation
Using (5, 4), then
4 = + c ⇒ c = 4 -
=
y = x +
← equation of line