Slope intercept form equation

Question

Write a equation of the line passing through (5,-2) with slope 3/5 in slope intercept form

Answer 1

To solve this problem you need to use the slope intercept formula:

The slope intercept formula is:

(y-y1)=m(x-x1)

If the number is negative for the y coordinate it will become an addition sign.

(y+2)=3/5(x-5)

First you subtract two from each side

(y+2)=3/5(x-5)

-2 -2

____________

y=3/5(x-7)

Then you distribute the slope

y=3/5x-21/5

The equation of the line is:

y=3/5x-21/5

ANS: y=3/5x-21/5

Answer 2

We want to start with the request to write the equation in flow-intercept form, which looks like this:

y = m*x+b, where

1. m = slope
2. b = intercept (the value of y when x = 0)

Using the fact that we know our slope is 3/5, we know m = 3/5. Our equation now takes the form:

1. y = 3/5*x + b

The only missing variable here is b. Given the fact that we know the line passes through (5,-2), we can plug these values in for x and y to determine b:

1. -2 = 3/5*5 + b
2. b = -2 - 3/5*5 = -2 - 3 = -5

Piecing all of this together we obtain a function of the following form:

1. y = 3/5*x - 5

Answer 3

y=3x/5 + b, plug in the point to solve for b

-2 =3(5)/5 + b

b = -2-3=-5

y= 3x/5 -5 is the equation with slope = 3/5 and through the point (5,-2)