Which is a characteristic of the line that passes through the points (6, 10) and (12, 7)? the slope is mc015-1.jpg. the slope is mc015-2.jpg. the y-intercept is 7. the y-intercept is 13.

slope of the line is -0.5
y-intercept is 13

Explanation:
The general formula of the linear equation is:
y = mx + c 
where m is the slope and c is the y-intercept

1- getting the slope:
We are given the two points:
(6,10) representing (x1 , y1)
(12,7) representing (x2 , y2)
The slope of the line will be calculated as follows:
m = (y2-y1) / (x2-x1) = (7-10) / (12-6) = -3/6 = -0.5
The equation of the line now becomes:
y = -0.5x + c

2- getting the value of the y-intercept:
To get the value of the y-intercept (c), we will use any of the given points, substitute in the equation of the line and solve for c. I will use the point (6,10) as follows:
y = -0.5x + c
10 = -0.5(6) + c
10 = -3 + c
c = 13

Based on the above, the equation of the line would be:
y = -0.5x + 13

Hope this helps :)

D. The y-intercept is 13.

Step-by-step explanation:

The Y intercept is 13.

Step-by-step explanation:

It’s the only one that is true when solving for the slope and intercept.

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Step-by-step explanation:

It has a y-intercept of 13.

Step-by-step explanation:

no need for explanation because i got it right :)

slope is -1/2

y intercept is 13

Step-by-step explanation:

line that passes through the points (6, 10) and (12, 7)

To find slope apply slope formula

EQuation of the line is y=mx+b

where m is the slope and b is the y intercept

m=-1/2

m=-1/2 and (6,10)

Add 10 on both sides

The value of b=13, so y intercept is 13

Step-by-step explanation:

The general formula of the linear equation is:

y = mx + c 

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

1- getting the slope:

We are given the two points:

(6,10) representing (x1 , y1)

(12,7) representing (x2 , y2)

The slope of the line will be calculated as follows:

m = (y2-y1) / (x2-x1) = (7-10) / (12-6) = -3/6 = -0.5

The equation of the line now becomes:

y = -0.5x + c

2- getting the value of the y-intercept:

To get the value of the y-intercept (c), we will use any of the given points, substitute in the equation of the line and solve for c. I will use the point (6,10) as follows:

y = -0.5x + c

10 = -0.5(6) + c

10 = -3 + c

c = 13

Based on the above, the equation of the line would be:

y = -0.5x + 13

Hope this helps :)

The y-intercept is 13.

y intercept is 13

Step-by-step explanation:

The equation of a line that passes through two points and is given by


Give a line that passes through the points (6, 10) and (12, 7), the equation of the line is obtained as follows:


The equation of a line in slope intercept form is given by

where: m is the slope and c is the y-intercept.

Comparing this with the obtained equation of the line that passes through the points (6, 10) and (12, 7), we notice that the line has a slope of and a y-intercept of 13.