Answer:
[tex]y = \frac{1}{5} x - 9[/tex]
Step-by-step explanation:
The slope-intercept form is y = mx + b, where:
m = slope
b = y-intercept.
The slope (m) tells you the steepness of the line. It is the average rate of change which measures how the y-value changes for each one-unit change in the x-value. Hence, slope [tex]= \frac{rise}{run}[/tex]. So the given slope of 1/5 means that for every 1 unit change in the y-value, the x-value changes by 5 units (you go up 1 unit, and "run" 5 units to the right).
Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b). It is also the value of y when x = 0. Since you're given the y-intercept of -9, then that means that it is the y-coordinate of (0, b). So, it becomes (0, -9).
Now that we have our slope (m ) = 1/5, and the y-intercept (b ) = -9, we can write the equation of the line as:
[tex]y = \frac{1}{5} x - 9[/tex]
(I'm also including a screenshot of the line where it shows the y-intercept of (0, -9) on the graph).
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