Answer:
1. [tex] m = slope = \frac{12}{7} [/tex]
2. [tex] y = \frac{12}{7}x [/tex]
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)
[tex] Slope = m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 0}{7 - 0} = \frac{12}{7} [/tex]
2. Equation of the using the slope-intercept formula, [tex] y = mx + b [/tex], where,
[tex] m = slope = \frac{12}{7} [/tex]
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:
[tex] y = \frac{12}{7}x + 0 [/tex]
[tex] y = \frac{12}{7}x [/tex]
3. The domain for C to D part = all x-values = 0≤x≤7
The range = all y-values = 0≤y≤12
