Question

Identify the slope and y intercept of the line with equation 2y=5x+4.

Answer 1

Answer: The slope is -5 & The y-intercept is (0,4)

Step-by-step explanation:

Answer 2

For line 2y = 5x + 4 , slope m =
`(5)/(2)` and y intercept of line 2y = 5x + 4 is 2.

Explanation:

Given:

equation 2y=5x+4.

To find:

The slope and y intercept of the line=?

Solution:

Step 1: Finding the slope intercept form of 2y = 5x + 4

Generic slope intercept form of a line is given by

y = mx + c ,

where m = slope of the line.

2y = 5x + 4

=>
`y=((5x+4))/(2)`

=>
`y=(5)/(2) x+(4)/(2)`

=>
`y=(5)/(2) x+ 2`

On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c , we can say that for line 2y = 5x + 4 , slope
`m = (5)/(2)`

Step 2: Finding the y intercept:

y intercept is that point where line is on y – axis and as value of x = 0 at y axis , we can say that y intercept is that value of y when x = 0 .

On substituting x = 0 in given equation of line we get

`2y = 5* 0 + 4`

=> 2y = 4

=>
`y = (4)/(2)`

=> y=2

Hence y intercept of line 2y = 5x + 4 is 2.