Step-by-step explanation:
as we have a point and the slope, we can start with the point-slope form and then transform.
the point-slope form is
y - y1 = a(x - x1)
(x1, y1) being a point on the line, a being the slope.
the slope-interceot form is
y = ax + b
a being the slope again, b being the y-intercept (the y value for x = 0).
so, we have
y - -5 = 5/2 × (x - -4)
y + 5 = 5/2 × (x + 4) = 5x/2 + 5×4/2 = 5x/2 + 10
y = 5x/2 + 5
or
y = (5/2)x + 5
and this is already the slope-intercept form. all done.
Answer: (x+8)^2 = 127
Step-by-step explanation:
Hi there!

Find the area of the parallelogram using the formula:
A = b × h
Thus:
A = 7 × 5 = 35 units²
Answer:
$30
Step-by-step explanation:
If the CD paid back 3% interest of the money you put in, all you have to find is what 3% of $1000 is.
3% = 0.03.
0.03 x 1000 is $30.
You earned $30 in interest.
Answer:
<h2><em>
0.375 pounds </em></h2>
Step-by-step explanation:
Let the amount of trail mix in each bag be x pounds. If Mario has
pounds of trail mix and puts equal amounts of the trail mix into 6 bags for a hike with his friends, the amount of trail mix in each bag can be derives using the expression;

solving for x

<em>Hence 0.375 pounds of trail mix will be in each bag</em>
<em></em>