Answer:
y = 6x - 5
Step-by-step explanation:
In order to determine the slope-intercept form, y = mx + b, of the given line:
You need to find the slope (m) and determine the y-intercept (b).
Given the points (1, 1) and (0, -5):
Let (x1, y1) = (1, 1)
(x2, y2) = (0, -5)
Use the following formula for slope:
m = (y2 - y1)/(x2 - x1)
m = (-5 - 1)/(0 - 1)
m = -6/-1
m = 6
The slope of the line is 6.
Next, the y-coordinate (b) of the point, (0, b ) is the y-intercept of the line where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.
Looking at the graph, you'll see that the line crosses at point (0, -5). We used this point earlier to solve for the slope. Hence, the y-coordinate, b = -5, is the y-intercept.
Given the slope, m = 6, and the y-intercept, b = -5:
The linear equation in slope-intercept form is: y = 6x - 5.
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