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

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.