Answer:
Step-by-step explanation:
first find the slope
m = Δy/Δx = (-1 - (- 5)) / (4 - (-2)) = 4/6 = 2/3
Then plug either point into the equation
y - y₁ = m(x - x₁)
y + 1 = 2/3(x - 4)
which is equivalent to
y + 5 = 2/3(x + 2)
Answers:
x intercept is (-7.5, 0)
y intercept is (0, 5.5)
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How to get these answers:
Simply look at where the graph crosses the x axis to determine the x intercept. This is directly halfway between the -8 and -7, so the line crosses through -7.5 on the x axis meaning that the x intercept is located at (-7.5, 0)
Similarly, the y intercept is (0, 5.5) as it crosses exactly halfway between the 5 and 6 on the y axis.
Any point is of the form (x,y)
The x intercept always has y = 0. The y intercept always has x = 0.
Answer:
26 miles
Step-by-step explanation:
Given: 24 miles drive to north.
10 miles drive to east.
Driving pattern form a right angle triangle, which has three leg including straight line distance from starting point (hypotenous).
Now, using Pythogorean theoram to find straight line distance from starting point.
h²= a²+b²
Where, h is hypotenous
a is opposite leg
b is adjacent leg.
⇒h²= 
⇒
⇒
Taking square root on both side, remember; √a²= ±a
⇒
∴ 
Ignoring -26 as distance cannot be negative.
Hence, 26 miles is the straight line distance from starting point.
The problem ask to calculate the slope of the line tangent to a circle O at point A if the radius of the circle is 2.5. So based on the problem the tangent line formed a right angle so it means that the slope is also 2.5 and the answer is letter B. 2.5
