The slope of the line below is -3. Which of the following is the point-slope
1 answer:
Given:
The slope of the line is -3.
The line passes through the point (2,-2).
To find:
The point-slope form of the line.
Solution:
Point slope form: If a line passes through the point with slope m, then the point-slope form of the line is:
The slope of the line is -3 and it passes through the point (2,-2). So, the point-slope form of the line is:
Therefore, the required point slope form of the given line is .
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u = 10.4 and v = 12
Solution:
In the given 2 sides of a triangle are 60°, 60°.
Sum of all the angles of a triangle = 180°
60° + 60° + third angle = 180°
⇒ third angle = 180° – 60° – 60°
⇒ third angle = 60°
All angles are equal, therefore the given triangle is an equilateral triangle.
⇒ All sides are equal in length.
⇒ v = 12
The line drawn from the top angle divides the triangle into two equal parts
and the line is perpendicular.
12 ÷ 2 = 6
Using Pythagoras theorem,
⇒
⇒
⇒
⇒
⇒ u = 10.4
Hence, u = 10.4 and v = 12.
Answer:
y=x+5
Step-by-step explanation:
The slope of the line is (9-5)/(4-0)=1, and the y-intercept is 5, so the equation is y = x + 5.
