Write in point-slope form an equation for the line through the points (6, 10) and (12, 14).

The point-slope form an equation for the line through the points (6, 10) and (12, 14) is

Solution:

The slope - intercept form equation of line is given as

y=mx+c     --- eqn (1)

Where m is the slope of the line. The coefficient of “x” is the value of slope of the line.

Where slope of the line which is passes through is given as

  --- eqn 2

From question given that two points are (6, 10), (12,14).  

Hence we get

By substituting the values in equation (2),

On simplifying above term,

On substituting the value of m in equation (1),

  --- eqn 3

Now equation (3) passes through given two points that is (6, 10), (12,14), so on substituting x = 6 and y=10 in equation (3).

10=4+c

c=6

Now on substituting the value of c = 6 in equation (3),

Hence point-slope form an equation for the line through the points (6, 10) and (12, 14) is

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step-by-step explanation:

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: