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 $y = \frac{2}{3}x - 2$?
Answer
Explanation:
Step1: Identify y - intercept
The equation of a line is $y = mx + b$, where $b$ is the y - intercept. For the line $y=\frac{2}{3}x - 2$, the y - intercept $b=-2$.
Step2: Analyze slope
The slope $m =-\frac{2}{3}$. A negative slope means the line is decreasing from left - to - right.
Step3: Check graphs
We look for a line that crosses the y - axis at $y = - 2$ and has a negative slope.
Answer:
The graph that crosses the y - axis at $y=-2$ and is decreasing from left - to - right.