Find the slope of the line that passes through (-3,-2) and (-3,2)
1 answer:
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<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:
The friends live 285 miles apart.
Step-by-step explanation:
Let total distance in miles Sean needs to cover to visit his friend be =
On first hour distance traveled in miles is =
Distance left to cover after first hour =
On second hour distance traveled = 34 miles
Distance to still left to be covered = 194 miles
Total distance to be covered after first hour will be = = 228 miles
Thus, the equation can be given as:
⇒
Multiplying each term with 5 to remove fractions.
⇒
⇒
⇒
Dividing both sides by 4.
⇒
∴
Thus, the friends live 285 miles apart.