Question

Which equation has a slope of –5/2 and a y-intercept of –2?
A. –5x – 2y = –4
B. –5x – 2y = 4
C. 5x + 2y = 4
D. 5x + 2y = –4

Answer 1

Answer:

The  equation with  slope of –5/2 and a y-intercept of –2  is

B )  –5x – 2y = 4  or

D )     5x + 2y = –4  

Step-by-step explanation:

The equation of line is given in the form:

y  = m x + C

Here, m : Slope of the line

and C : Y - intercept.

Consider the given equations:

A. –5x – 2y = –4

⇒ - 2 y = -4 +  5 x

or, $y = -\frac{5}{2} x + 2$

⇒ slope  = (-5/2) and y - intercept = + 2

B. –5x – 2y = 4

⇒ - 2 y = 4 +  5 x

or, $y = -\frac{5}{2} x -2$

⇒ slope  = (-5/2) and y - intercept = - 2

C. 5x + 2y = 4

⇒  2 y = 4 -  5 x

or, $y = -\frac{5}{2} x + 2$

⇒ slope  = (-5/2) and y - intercept = + 2

D. 5x + 2y = –4

⇒ 2 y = -4 - 5 x

or, $y = -\frac{5}{2} x -2$

⇒ slope  = (-5/2) and y - intercept = - 2

Hence, the  equation with  slope of –5/2 and a y-intercept of –2  is

–5x – 2y = 4  or  5x + 2y = –4