The equation of this line is y = 7x + 3. What would happen to the graph if the equation was changed to y = 2x + 6?
1 answer:
Answer:
From the graph,
- The line y = 7x + 3 is represented by a red line with y-intercept (0, 3)
- The line y = 2x + 6 is represented by a blue line with y-intercept (0, 6)
it is clear that the slope and y-intercept have been changed.
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where m is the slope and b is the y-intercept
Given the equation of a line
y = 7x + 3
comparing with a slope-intercept form of the line equation
y = mx+b
Here,
The slope = m = 7
y-intercept = b = 3
Now, the equation changed to y = 2x + 6
y = 2x + 6
comparing with a slope-intercept form of the line equation
y = mx+b
Here,
The slope = m = 2
y-intercept = b = 6
Thus, if the equation was changed to y = 2x + 6, the slope and y-intercept also get changed from m = 7 to m = 2 and b = 3 to b = 6 respectively.
The lines of both equations is also attached.
From the graph,
- The line y = 7x + 3 is represented by a red line with y-intercept (0, 3)
- The line y = 2x + 6 is represented by a blue line with y-intercept (0, 6)
it is clear that the slope and y-intercept have been changed.
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