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mash [69]
2 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]2 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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