what is the slope of the line that passes through the points (-3,1) and( 7,-14)? write your answer in simplest from.

Mathematics

1 answer:

Harrizon [31]3 years ago

3 0

Answer:

slope = m = (0--3)/(14--4) = 3/18 = 1/6

y=mx + b

y =(1/6)x + b

0= (1/6)14 + b

b = - 14/6 = - 7/3

y = (1/6)x - 7/3

6y-x = -14

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Find the intercepts and graph the equation. 7x +5y=12

vazorg [7]

Answer:

y-intercept: (0, 12/5) or (0, 2.4)

x-intercept: (12/7, 0) or (1.714, 0)

Step-by-step explanation:

The y-intercept is the point where the graph crosses the y-axis. That means, the point (0, yi). To find yi, we have to substitute x by 0 in the equation.

7x + 5y=12

7*0 + 5y = 12

y = 12/5 = 2.4

y-intercept: (0, 12/5) or (0, 2.4)

The x-intercept is the point where the graph crosses the x-axis. That means, the point (xi, 0). To find xi, we have to substitute y by 0 in the equation.

7x + 5y=12

7x + 5*0 = 12

x = 12/7 = 1.714

x-intercept: (12/7, 0) or (1.714, 0)

Finally, the graph is shown below.