Question

write an equation in point slope form for the line through the given point with the given slope -10,-6 m= -5/8

Answer 1

Hey there! 

Okay let's look at the given values...

(-10, -6)    m = -5/8

Now remember the formula we use to get an equation is called the point-slope form and it looks like this....

(y - y₁) = m(x - x₁)

Now we just substitute in the known values in for the proper variables...

(y + 6) = (-5/8)(x + 10)
y + 6 = -5x/8 - 25/4
y = -5x/8 - 49/4      <------ This is the equation you are looking for!

I hope this helps! 

Please vote me for Brainliest if there is a second answer!!! ^__^

Answer 2

Answer:

$y+6=-\frac{5}{8}(x+10)$

Step-by-step explanation:

We are given that the line passing through a point (-10,-6) and slope of line,m=$-\frac{5}{8}$

We have to find the equation of line in point-slope form for the line.

We know that

The equation of line which is passing through the point $(x_1,y_1)$ with slope m is given by

Point-slope form:$y-y_1=m(x-x_1)$

We have $x_1=-10,y=-6,m=-\frac{5}{8}$

Using the formula

The equation of line which is passing through the point (-10,-6) with slope -5/8

$y-(-6)=-\frac{5}{8}(x-(-10))$

$y+6=-\frac{5}{8}(x+10)$