Question

#1.) What is the slope between point C and Point D? *Please Show All Work*

Answer 1

Answer:

1. $m = slope = \frac{12}{7}$

2. $y = \frac{12}{7}x$

3. Domain: 0≤x≤7

Range: 0≤y≤12

Step-by-step explanation:

1. Assuming 1 unit = 1 box on the grid, therefore, coordinates of C and D would be:

C(0, 0),

D(7, 12)

$Slope = m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 0}{7 - 0} = \frac{12}{7}$

2. Equation of the using the slope-intercept formula, $y = mx + b$, where,

$m = slope = \frac{12}{7}$

b = y-intercept, which is where the line CD cuts the y-axis = 0

Plug in the values for m and b into the formula to get the equation of the line:

$y = \frac{12}{7}x + 0$

$y = \frac{12}{7}x$

3. The domain for C to D part = all x-values = 0≤x≤7

The range = all y-values = 0≤y≤12