which is a equation of the slope with 3/5 that passes through the point (-15,-11)

Question

well i dont know how to find slope can you explain to me how you get the answer

Answer 1

If you walked 1.5 miles to a friend's house and it took you 30 minutes, your rate, or speed, would be (1.5 miles)/(1/2 hour) = 3 miles per hour.

 

If you graphed this situation with the horizontal axis being time in hours and the vertical axis being distance in miles and the point (0.5,1.5) being your final time  and location, then the line segment from the origin, (0,0) to that point has a slope of (1.5 - 0)/(0.5 - 0) = 3 miles per hour.

 

The slope is your rate of change, or speed.

 

In general, slope is the change in y-values divided by the change in x-values, and gives the rate of change of y with respect to x.

 

The ubiquitous slope formula for the slope of a line containing two points (x1,y1) and (x2, y2) is m = (y1-y2)/(x1-x2); i.e., the change in y divided by the change in x.

 

If m = 3/5, one point is (-15,-11), and another point is (x,y), then

 

3/5 = (-11-y)/(-15-x) = (11+y)/(15+x)

 

3(15+x) = 5(11+y)

 

45 + 3x = 55 + 5y

 

So the line's equation's are:

 

3x – 5y = 10 in Standard Form;

 

y = (3/5)x – 2 in Slope-Intercept Form; and

 

x/(10/3) + y/(-2) = 1 in Intercept Form.

Answer 2

Hi Keyaira;

3/5, (-15,-11)

Let's use point-slope formula...

y-y₁=m(x-x₁)

m is the slope...

y--11=(3/5)(x--15)

Subtracting a negative number is the same as adding a positive number...

y+11=(3/5)(y+15)

y+11=(3/5)y+9

Subtract 11 from both sides...

y+11-11=(3/5)x+9-11

y=(3/5)x-2

 

Check our results...

y=(3/5)x-2

Plug-in point provided, (-15,-11)...

-11=[(3/5)(-15)]-2

-11=-9-2

-11=-11