write an equation in point-slope form for the line that has a slope of 15 and contains the point (2,−9).
1 answer:
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6. Answer: y = 5x - 11
<u>Step-by-step explanation:</u>
Parallel means "same slope". y = 5x - 2 is in the form y = mx + b,
so the slope (m) = 5
Next, input the point (x₁, y₁ = 2, -1) and slope (m = 5) into the Point-Slope formula:
y - y₁ = m(x - x₁)
y - (-1) = 5(x - 2)
y + 1 = 5x - 10
y = 5x - 11
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7. Answer:
<u>Step-by-step explanation:</u>
Perpendicular means "opposite reciprocal slope". y = -3x + 7 is in the form y = mx + b, so slope (m) = -3 ⇒ m⊥ =
Next, input the point (x₁, y₁ = 3, 5) and slope (m = ) into the Point-Slope formula:
y - y₁ = m(x - x₁)
Answer:
233.8 Yards
Step-by-step explanation:
Given that,
Length of a rectangular field, l = 227 yards
Breadth of a rectangular field, l = 56 yards
Let x is the distance from one corner of the field to the opposite corner. It can be calculated using Pythagoras theorem,
So, the distance from one corner of the field to the opposite corner is 233.8 Yards.