Answer:
Step-by-step explanation:
Let's start by defining what slope-intercept form is. Slope-intercept form is:
y=mx+b
Where...
"y" = y-coordinate of any point on the line
"m" = slope of the line
"x" = x-coordinate of any point on the line
"b" = y-intercept (where the line intercepts the y-axis)
Let's start by finding the y-intercept. As stated above, the y-intercept is where the line intercepts the y-axis. Looking at the graph, we can tell that in this case, it is (0, 3).
<u>Note that the y-intercept (b) is represented by ONLY the y-value, which in this case is 3. </u>
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Now, let's find the slope. Start by taking ANY two points on the line. Let's use (0, 3) and (1, 2).
The formula for slope is:
Substitute the given points into the equation:
The slope is -1.
Finally, we substitute our slope and y-intercept back into the equation and get: