Calculate the slope of the line that passes through (1,3) and (4, -8).

$\frac{- 3}{11}$
$\frac{- 11}{3}$
$\frac{11}{3}$
$\frac{3}{11}$

hint Hint:

In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate.
The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.
Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,
m = change in y/change in x = Δy/Δx
Where “m” is the slope of a line.

The correct answer is: $fraction numerator negative 11 over denominator 3 end fraction$

Slope

Points(1,3) and (4, -8)
Substitute points in the formula
We get slope $fraction numerator negative 11 over denominator 3 end fraction$ .

Slope of a line is also found by finding the tangent value of the angle at which the line is inclined to the positive x axis.

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting.

The equality between two mathematical expressions involving one or more variables is called an equation. For example, a linear equation is one in which the variable's highest power is one. For example, an algebraic equation of the form ax + b = 0 or ax + by + c = 0. where x and y are the two highest-power variables and a, b, and c are real numbers.
The answer to this question was C = 5h + 3. The y-intercept is where h=0. It has the value c=3 and represents the fixed cost. The slope is 3, representing the rate at which C is increasing. If she babysits for 5 hours, she makes
C = 5*5 + 3
C = 25 + 3
C = 28
Therefore using the equation C = 5h + 3, we get the answer is $28.