Answer:
- slope: -3
- y-intercept: +7
- equation: y = -3x +7
Explanation:
You want to know the slope and y-intercept of the line shown in the graph.
Intercept
The line crosses the y-axis at y = 7. This is the y-intercept, the added constant in the equation. That is, b = 7.
Slope
In addition to passing through the point (0, 7), the line can also be seen to pass through the point (1, 4). This means the line has a "rise" of -3 for the corresponding "run" of +1.
The slope is ...
m = rise/run = -3/1 = -3
Equation
The slope-intercept equation for the line is ...
y = mx + b
y = -3x +7
__
Additional comment
We chose to determine the y-intercept first, because it usually is found on a grid intersection. For determining slope, it is convenient to find two points on grid intersections. That way, the slope can be most precisely determined. It can be less accurate to interpolate values when determining points that are not on grid intersections.
Since the y-intercept is a grid intersection point, we only need to find another point where the line crosses a grid intersection to make our slope calculation as simple and accurate as possible.
<95141404393>