Step-by-step explanation:
the easiest approach with a given point and the slope of the line is the point-slope form :
y - y1 = a(x - x1)
where "a" is the slope, and (x1, y1) is a point on the line.
so, we get
y - -8 = 4(x - -3)
y + 8 = 4(x + 3)
if we need the slope-intercept form
y = ax + b
we now simplify the point-slope form
y + 8 = 4x + 4×3 = 4x + 12
y = 4x + 4
Y = kx is the direct variation equation
Substitute the x and y that are given to find k then write your new equation in terms of y with the k.
288 = k(16) divide by 16 to find k
18 = k
Now write the new equation
y = 18x
y = 18(13) or y = 18(-13) I'm not sure by what you have typed if that is supposed to be and equal sign or a negative.
y = 234 OR y = -234
This graph shows the solution on a Cartesian plane.
Likely your graph is a solution on a number line. It will have an open circle at x=2, and an arrow pointing to the left from that point.
She has 7 soccer trophies.
So lets assume she wants to display it in a straight line:
The 1st has 7 ways
The 2nd has 6 ways
The 3rd has 5 ways
The 4th has 4 ways
until the last.
Total = 7 × 6 ×5 × 4 × 3 × 2 × 1 = 5040 ways.
