Answer:
y=-1/4x-6
Step-by-step explanation:
y intercept is -6 and slope is -1/4
point slope is y-y1=m(x-x1)
you can use and point. i am using (0,-6)
y--6=-1/4(x-0)
y+6=-1/4x
-6 -6
y=-1/4x-6
Answer: h=7
Step-by-step explanation:
By definition the function in vertex form is:

Where (h,k) is the vertex of the parabola.
You must group the terms that contain the same variable in the function:

Complete the square as following:

Now you must rewrite it as following:

Then:
h=7
You just need to break it into parts. The first rectangle is the tall one. To find the area of this one, just multiply the tall side by the short side on top.
8 x 2 = 16
The second rectangle is the long one on the bottom. If the whole bottom side is 5 units, then you need to subtract 2 from that.
3 x 1 = 3
16 + 3 = 19 units, so the area of the entire shape would be 19 units^2. Hope this helps! :)
~Ash
Answer:
y=6/5x-8
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through (5, -2) and has the slope of 6/5
We can write the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.
Since we are already given the slope of the line, we can immediately plug it into the equation:
y=6/5x+b
Now we need to find b
Since the equation passes through the point (5, -2), we can use it to solve for b
Substitute 5 as x and -2 as y:
-2=6/5(5)+b
Multiply
-2=6+b
Subtract 6 from both sides
-8=b
Substitute -8 as b.
y=6/5x-8
Hope this helps!