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mash [69]
3 years ago
14

Write an equation in slope-intercept form that describes the line with a slope of -2 and (5,4) is on the line

Mathematics
1 answer:
marin [14]3 years ago
3 0

Answer:

The equation in slope-intercept form will be:

  • y = -2x + 14

Step-by-step explanation:

Given

  • slope = m = -2
  • point (5, 4)

We know that the slope-intercept form of the line equation is

y = mx+b

where m is the slope of the line and b is the y-intercept

substituting m = -2 and the point (5, 4) in the slope-intercept form to get the y-intercept 'b'

y = mx+b

4 = -2(5) + b

4 = -10 + b

b = 4+10

b = 14

now substituting m = -2 and b = 14  in the slope-intercept form to get the equation in slope-intercept

y = mx+b

y = -2x + 14

Therefore, the equation in slope-intercept form will be:

  • y = -2x + 14
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A quadratic function's graph being wide or narrow is determined or depended on a-term:

\large{y = a {x}^{2}  + bx + c}

If |a| has a lot of value, for example a = 2 or a = 100. The graph will get narrower if increasing the value of |a|. On the other hand, If |a| has small value, for example a = 1/2 or a = 1/10000. The graph would be wide.

Also it does not matter if a-term is negative or not since a-term being positive or negative determines if a parabola is upward or downward. Only |a| determines how narrow/wide the graph is.

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Can someone find the lengths of these? and show work?
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The median will change; the mode will stay the same.

<h3>Will the median and mode change?</h3>

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