The point-slope form of the equation of a straight line is:
We have:
Substitute:
A home-made baseball diamond is in the shape of a square. The distance from base to base is 80 feet because of space constraints
2 answers:
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Applying the definition of alternate angles and angles on a straight-line: <u>m<ACB = 84°.</u>
<em><u>Recall:</u></em>
- Alternate angles are congruent and have equal angle measures.
- Angles on a straight-line = 180 degrees.
<em>The diagram showing the information and sketch of the Highland Park is attached below (see attachment).</em>
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<em><u>Thus:</u></em>
m<BAC = 36° (given)
m<BCE = 60° (given)
<ACD = <BAC (alternate angles)
- Therefore,
m<ACD = 36°
m<ACB = 180° - (m<ACD + m<BCE) (angles on a straight-line)
- Substitute
m<ACB = 180° - (36° + 60°)
m<ACB = 84°
Thus, applying the definition of alternate angles and angles on a straight-line: <u>m<ACB = 84°.</u>
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Answer:
The equation of line passing through point (3 , 10) with slope 2 is y = 2 x + 4 .
Step-by-step explanation:
Given as :
The slope of a line = m = 2
The line is passing through point = ,
= 3 , 10
Now, <u>Equation of line in point- slope form</u>
y - = m × (x -
)
Or, y - 10 = 2 × (x - 3)
Or, y - 10 = 2 × x - 2 × 3
Or, y - 10 = 2 x - 6
Or, y = 2 x - 6 + 10
Or, y = 2 x + 4
So, The equation of line y = 2 x + 4
Hence, The equation of line passing through point (3 , 10) with slope 2 is y = 2 x + 4 . Answer