Answer:
y = 1/3 x + 7
Step-by-step explanation:
Given; the line is passing through, (-6,5) and the slope is 1/3
We can get its equation;
We would take, a point (x,y) and the given point (-6,5)
Therefore; Since slope = Δy/Δx
Then;
(5-y)/ (-6-x) = 1/3
3(5-y) = -6 -x
15 - 3y = -6 - x
we get;
3y = 6 + x + 15
3y = x + 21
Therefore;
<u>y = 1/3 x + 7</u>
Answer:
E. 38
Step-by-step explanation:
f(-5) means to plug in -5 for x in the given equation
Answer:
y = 2x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
6x - 3y = 15 ( subtract 6x from both sides )
- 3y = - 6x + 15 ( divide all terms by - 3 )
y = 2x - 5 ← in slope- intercept form
with slope m = 2
Parallel lines have equal slopes, thus
y = 2x + c ← is the partial equation
To find c substitute (- 2, 4) into the partial equation
4 = - 4 + c ⇒ c = 4 + 4 = 8
y = 2x + 8 ← equation of parallel line
The ball describes a parabola, as you can see in the attached picture. So, the point where the ball strike the ground is the point where the parabola meets the x axis. In fact, the x-axis is the set of points where y=0, which means that the ball has height 0 or -again- it hits the ground.
So, we have to set y=0 in our equation and look for the positive solution. We have
And the positive solution is
So that's the distance from the child where the ball strikes the ground.
