Answer:
For line 2y = 5x + 4 , slope m = [tex]\frac{5}{2}[/tex] and y intercept of line 2y = 5x + 4 is 2.
Step-by-step 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
=> [tex]y=\frac{(5x+4)}{2}[/tex]
=>[tex]y=\frac{5}{2} x+\frac{4}{2}[/tex]
=>[tex]y=\frac{5}{2} x+ 2[/tex]
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 [tex]m = \frac{5}{2}[/tex]
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
[tex]2y = 5\times 0 + 4[/tex]
=> 2y = 4
=>[tex]y = \frac{4}{2}[/tex]
=> y=2
Hence y intercept of line 2y = 5x + 4 is 2.
