Write the equations of the line that passes through the point 4,3) and is perpendicular to the line y=2x−4 . Write the equation
in slope-intercept form.
1 answer:
Answer:
<h2>
y = -¹/₂x + 5</h2>
Step-by-step explanation:
The product of slopes of perpendicular lines is -1
y = 2x − 4 ⇒ m₁ = 2
m₁m₂ = -1
2m₂ = -1
m₂ = -¹/₂
The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is: y - y₁ = m(x - x₁)
m = -¹/₂
(4, 3) ⇒ x₁ = 4, y₁ = 3
So the equation in point-slope form:
y - 3 = -¹/₂(x - 4)
Therefore:
y - 3 = -¹/₂x + 2
y = -¹/₂x + 2 + 3
<h3>
y = -¹/₂x + 5</h3>
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