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## Write equation of the line containing (4,2) and (3,5) in slope-intercept form.

Question

Write equation of the line containing (4,2) and (3,5)

in slope-intercept form.

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Mathematics
3 years
2021-07-29T19:47:08+00:00
2021-07-29T19:47:08+00:00 1 Answers
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## Answers ( )

Answer:The equation of the line containing (4,2) and (3,5) in the slope-intercept form will be:

Step-by-step explanation:Given the points

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

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

substituting m=-3 and the point (4, 2) to get the y-intercept i.e. b

2=(-3)4 + b

2 = -12 + b

b = 2+12

b = 14

Now, substituting b=14 and m=-3 in the slope-intercept form to determine the equation of a line in the slope-intercept.

y=(-3)x+(14)

y=-3x+14

Thus, the equation of the line containing (4,2) and (3,5) in the slope-intercept form will be: