The graph that fits the equation is graph C. It has points at (0,10) and (2,6)
How do we identify the graph with the given equation?
To identify the graph, we say
- Slope (m) = -2
- Y-intercept (b) = 10
Slope: The slope tells you rise over run. In this case, for every 2 positions you move down (because it's negative) on the y-axis, you need to move 1 position to the right on the x-axis.
Y-intercept: The y-intercept tells you the point where the line crosses the y-axis. In this case, the line crosses the y-axis at (0, 10).
When x=0:
y = −2(0) + 10 = 10
So, one coordinate is (0,10).
When x=2:
y= −2(2) + 10 =6
(2,6)