Determine the graph that represents a function
1 answer:
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keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
so we're really looking for the equation of a line whose slope is 1/2 and passes through (-4 , 1)
Answer:
The equation of the line in the slope-intercept form will be:
- y = -7x
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
- m is the slope
- b is the y-intercept
From the attached graph, taking two points
- (0, 0)
- (-10, 70)
Finding the slope between (0, 0) and (-10, 70)
Determining the y-intercept:
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear that:
at x = 0, y = 0
Thus, the y-intercept b = 0
Now, substituting m = -7 and b = 0 in the slope-intercept form
y = mx+b
y = -7x + 0
y = -7x
Therefore, the the equation of the line in slope-intercept form will be:
- y = -7x