The equation of a line is y = mx + b where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). we can look at the graph and see that the line crosses the y axis at y = 4. Therefore, the y-intercept, b, is 4.
Now we must calculate the slope. To do so, we divide the "rise" of the line,
y₂ - y₁ by the "run" of the line x₂ - x₁. We must choose two points (x₁, y₁) and (x₂, y₂) to find the slope. Two points are already given to us, (1, 2) and (4, -4):
m = (-4 - 2)/(4 - 1)
m = -6/3
m = -2
Now that we know the slope and the y-intercept, we can simply plug them back into the equation to find the equation of the line:
y = -2x + 4
E and C are the correct answers,
Hope that helps!!
The least common denominator is the Least Common Multiple (LCM) of the divisors 3 and 4. Since these numbers have no common factors, their LCM is
... 3·4 = 12
The least common denominator of your fractions is 12.
... 1/3 = (1/3)·(4/4) = 4/12
... 3/4 = (3/4)·(3/3) = 9/12
We need the picture to answer this question. From the information
given, we can't be sure that XY is even on the same planet as the
triangle. We certainly don't know how they're related.
All we can say for sure is that if one angle of an isosceles triangle is
52 degrees, then another one is either 52 degrees or 64 degrees.
