Line JK passes through points J(-4,-5) and K(-6,3). If the equation of the line is written in slope-intercept form, y-mx+b, what
2 answers:
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Answer:
Step-by-step explanation:
According to the attached figure, Jaxon is positioned 10 blocks east and 5 blocks north.
Thus, Jaxon's x-coordinates are 10 units, while the y-coordinates are 5 units.
Therefore, the coordinates are given by (10,5)
Similarly, Isaac's coordinates are determined based on his distances towards the west and south.
Hence, the x-coordinates equal 8 units and the y-coordinates equal 15 units.
Thus, Isaac’s coordinates are depicted as (-8,-15).
Answer:
The ratio corresponds to the tangent of ∠I.
Step-by-step explanation:
Let’s revisit the trigonometric ratios:
- sin Ф =
- cos Ф =
- tan Ф =
For triangle HIJ
∵ m∠J = 90°
- The hypotenuse is the side opposite the right angle.
So, HI is the hypotenuse.
∵ HJ = 3 units
∵ IH = 5 units
- We’ll apply the Pythagorean Theorem to solve for HJ.
∵ (HJ)² + (IJ)² = (IH)²
∴ 3² + (IJ)² = 5²
∴ 9 + (IJ)² = 25
- Subtract 9 from both sides.
∴ (IJ)² = 16
- Taking the square root on both sides gives:
∴ IJ = 4 units
To determine the tangent of ∠I, identify the sides that are opposite and adjacent to it.
∵ HJ is opposite to ∠I
∵ IJ is adjacent to ∠I
- Utilizing the rule of tan above:
∴ tan(∠I) =
∴ tan(∠I) =
The ratio indicates the tangent of ∠I.