Which equation represents the line that passes through the points (1, 1) and (-4, 7)?
A. 5x + 6y = 11
B. 6x + 5y = 11
C. 6x - 5y = -11
D. 5x - y = -11

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Option (B)

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

Here m = slope of the line

b = y-intercept

Slope of the line passing through two points and is,

m =

Slope of the line which passes through the points (1, 1) and (-4, 7) will be,

m =

   =

By substituting the value of m in the equation,

y =

Since, this line passes through (1, 1),

1 =

b =

  =

Therefore, equation will be,

5y = -6x + 11

6x + 5y = 11

Option B is the answer.

given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation:

answer: 100

step-by-step explanation: