Question

question 5 (1 point) (02.03 mc) choose the equation that represents the graph. o a y = -2x - 6 o b y = 2/3x+6 o c y = -2/3x+6 o d y = 2x + 6

Explanation:

Step1: Identify the y - intercept

The line crosses the y - axis at y = 6, so the y - intercept b = 6 for the equation y=mx + b.

Step2: Calculate the slope

The line passes through (0,6) and (9,0). The slope m=$\frac{y_2 - y_1}{x_2 - x_1}=\frac{0 - 6}{9-0}=-\frac{6}{9}=-\frac{2}{3}$.

Step3: Write the equation

The equation of the line in slope - intercept form is y = mx + b. Substituting m =$-\frac{2}{3}$ and b = 6, we get y=$-\frac{2}{3}x + 6$.

Answer:

C. $y=-\frac{2}{3}x + 6$