which graph represents a line with a slope of $-\\frac{2}{3}$ and a y - intercept equal to that of the line…

which graph represents a line with a slope of $-\\frac{2}{3}$ and a y - intercept equal to that of the line $y = \\frac{2}{3}x - 2$?

which graph represents a line with a slope of $-\\frac{2}{3}$ and a y - intercept equal to that of the line $y = \\frac{2}{3}x - 2$?

Answer

Explanation:

Step1: Find the y - intercept

The equation of a line is (y = mx + b), where (m) is the slope and (b) is the y - intercept. For the line (y=\frac{2}{3}x - 2), the y - intercept (b=-2).

Step2: Analyze the slope

The slope (m =-\frac{2}{3}). A negative slope means the line is decreasing (going from the upper left to the lower right).

Answer:

The graph with a line that crosses the y - axis at (y =-2) and has a negative slope (going downwards from left to right) is the correct one.