help me with this

Question

Determine the slope and the y-intercept for the linear equation 5x - 2y = 8. Be sure to write the y-intercept as an ordered pair - in parentheses and with commas between the coordinates.

 

 

 

slope is ____________- and y intercept is ________

Answer 1

Hi, Omat.

To find the slope and y-intercept you need to rewrite the equation in the form

y = mx + b

 

5x - 2y= 8

2y = 5x - 8

y = (5/2)x  - 4

m = 5/2 and b = -4

The y intercept is the point where x = 0 , so (0,-4)

 

 

Slope is 5/2   

y intercept is (0,-4)

 

Answer 2

Since a line written in the form y = mx + b  has the slope (m) and the y-intercept (b) easy to recognize,

 

Just solve the given equation for y.  Then whatever number is attached to the "x" is the slope.  And whatever number is a constant alone is the y-intercept.

 

5x - 2y = 8

     - 2y = -5x + 8

 

divide both sides by -2

 

y = (5/2)x + 8/(-2)

 

y = (5/2)x - 4   (mx + b) 

 

 

the slope is (5/2),  the y-intercept is  -4

As an ordered pair, the y-intercept is (0, -4).