You have to get a common denominator so
3 x 3 = 9
5 x 3 = 15
So now we have 9/15 + 4/15 which is 13/15.
The answer is 13/15
Slope Formula: y2 - y1 / x2 - x1
(m and slope represent the same quantity)
m = 1 - - 5 / -4 - 0
m = 1 + 5 / -4
m = 6 / -4
m = -3/2
Now that we know the slope, we can plug the slope and one of our points into slope-intercept form (y = mx + b) and solve for b. I will be using the point (-4,1).
y = -3/2x + b
1 = -3/2(-4) + b
1 = 6 + b
b = -5
In point form, the y-intercept is (0, -5).
Therefore, to get the equation all we need to do is plug in our slope and b-value to slope-intercept form.
Equation: y = -3/2 x - 5
To check the point (-6, -14) we plug it into our equation and see if the two sides are equal.
-14 = -3/2(-6) - 5
-14 = 9 - 5
-14 = 4
-14 does not equal 4, therefore the point is NOT on the line.
Hope this helps!
Answer:
(g ￮ f)(- 5) = 4
Step-by-step explanation:
evaluate f(- 5) then substitute the value obtained into g(x)
f(- 5) = (- 5)² + 6(- 5) + 3 = 25 - 30 + 3 = - 2 , then
g(- 2) = 2(- 2) + 8 = - 4 + 8 = 4
(g ￮ f)(- 5) = 4
