Answer:
c = 8
Step-by-step explanation:
Given the following data;
Slope, m = -2
Points (x, y) = (5, -2)
To find the intercept, c;
Equation of a straight line is given by the formula: y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
Substituting the values in order to find the intercept, we have;
-2 = -2(5) + c
-2 = -10 + c
c = 10 - 2
c = 8
Therefore, the y-intercept is 8.
Answer:
(-1,8)
(4,-27)
Step-by-step explanation:
y+7x=1
Let x = -1 and find y
y+7(-1)=1
y -7 =1
Add 7 to each side
y-7+7 = 1+7
y = 8
(-1,8)
Let x = 4 and find y
y+7(4)=1
y +28 =1
Subtract 28 from each side
y+28-28 = 1-28
y = -27
(4,-27)
The sinusoid makes a complete oscillation (i.e. 360°) every 3 seconds. So, in one second it makes 1/3 of a turn, leading to 360°/3 = 120°.
So, the correct answer is the last one.
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