Answer:
y = -x + 8
Step-by-step explanation:
In writing an equation of a line, keep in mind that you ALWAYS need the following information in order to establish a linear equation:
1. 2 ordered pairs (x,y) on the line
2. Slope
We'll use points (1, 7) and (0, 8).
Let (x1, y1) = (1, 7)
(x2, y2) = (0, 8)
Now that we have the two ordered pairs, substitute their values into the following slope formula:
m = (y2 - y1)/(x2 - x1)
m = (8 - 7) / (0 - 1)
m = 1 / -1 = -1
Therefore, the slope of the line, m = -1.
Next, we need to determine the y-intercept, (b). The y-intercept is the y-coordinate of the point (0, b ) where the graph crosses the y-axis. The y-intercept is also the value of y when x = 0. Looking at the graph, we can see that it crosses the y-axis at point (0, 8). We used this point earlier to solve for the slope. The y-intercept, b = 8.
Therefore, the linear equation in slope-intercept form is: y = -x + 8.
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