Line m passes through the point (-1, 1) and has a slope of 4/7. what is the equation of line m in standard form? a.) 7x - 4y = 11 b.) 7x - 4y = -11 c.) 4x - 7y = -11 d.) 4x - 7y = 11

c

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 )

here m = , so

y = x + c ← is the partial equation

To find c substitute (- 1, 1) into the partial equation

1 = - + c ⇒ c = 1 + =

y = x + ← in slope- intercept form

Multiply through by 7

7y = 4x + 11 ( subtract 7y from both sides )

0 = 4x - 7y + 11 ( subtract 11 from both sides )

4x - 7y = - 11 ← in standard form → c

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0