<h2>Answer:
y = - ¹/₂ x + 5
</h2>
<h3>Step-by-step explanation:
</h3>
<u>Find the slope of the perpendicular line</u>
When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are negative-reciprocals of each other.
⇒ if the slope of this line = 2 (y = 2x + 2)
then the slope of the perpendicular line (m) = - ¹/₂
<u>Determine the equation</u>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - 3 = - ¹/₂ (x - 4)
We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:
since y - 3 = - ¹/₂ (x - 4)
y = - ¹/₂ x + 5 (in slope-intercept form)
Answer:$2.98
Step-by-step explanation:
Answer:
the equation of line w will be y = 1/109x + 325/109
Step-by-step explanation:
when a line is perpendicular to another line, that means their slopes are reversed signs and flipped.
so if one slope is 2/3, the perpendicular slope would be -3/2
so in this problem, line w would have 1/109 be the slope.
using this, we can substitute m as the slope and the given point in the problem as x and y and solve for b in the slope-intercept form (y = mx +b)
m = 1/109
(2,3)
y = mx + b
3 = (1/109)2 + b
3 = 2/109 + b
327/109 = 2/109 + b
325/109 = b
putting it all together, the equation of line w will be y = 1/109x + 325/109
Answer:
58.6667
Step-by-step explanation:
if you see there are 5280 ft in 1 mile so use ur brain
