Given the table, write an equation in slope-intercept form.
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Answer:
Step-by-step explanation:
To write an equation into slope-intercept form, or y = mx + b format, we need to find the y-intercept of the line and its slope and substitute values for m and b.
1) First, find the y-intercept. The y-intercept is the point at which the line intersects the y-axis. Reading the graph, we can see that the line passes the y-axis at the point (0,2), thus that is the y-intercept.
2) Next, find the slope. Pick out two points on the graph to use for the slope formula, . I chose to work with (0,2) and (6,1). Now, substitute the two points' x and y values into the formula appropriately and solve:
Thus, is the slope.
3) Now, substitute the calculated values into the y = mx + b format. The b represents y-value of the y-intercept. The y-intercept is (0,2), thus substitute 2 for b. The coefficient of the x term, or m, represents the slope, thus substitute for m. This will give the following equation of the line in slope-intercept format:
