Answer:
<h2> y = 13x - 80 </h2>
{Or, if you mean slope of 1/3: y = ¹/₃x - 4 }
Step-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
m = 13
(6, -2) ⇒ x₀ = 6, y₀ = -2
The point-slope form of the equation:
y + 2 = 13(x - 6)
So:
y + 2 = 13x - 78 {subtract 2 from both sides}
y = 13x - 80 ← the slope-intercept form of the equation
{Or, if you mean slope of ¹/₃: m = ¹/₃
The point-slope form of the equation: y + 2 = ¹/₃(x - 6)
y + 2 = ¹/₃x - 2 {subtract 2 from both sides}
y = ¹/₃x - 4 ← the slope-intercept form of the equation}
Answer:
6108795
Step-by-step explanation:
To obtain the number of ways the committee can be selected :
4 teachers from the 12 teachers available and 3 students from the 43 students available
Using combinatorics :
12C4 * 43C3
recall :
nCr = n! ÷ (n - r)!r!
Using calculator :
12C4 = 495
43C3 = 12341
12C4 * 43C3
495 * 12341
= 6108795