4. 3. Consider the line
2x + 5y = -10. What is the
slope of the line parallel to this line?

The slope of the parallel line to the line 2x + 5y = -10 is

Step-by-step explanation:

Parallel lines have equal slopes and different y-intercepts

To find the slope of the line from the equation of the line, then put the equation in the form y = m x + b, where

Let us solve the question

∵ The equation of a line is 2x + 5y = -10

→ Put the equation in the form above

→ Subtract x from both sides to move 2x from the left side to the

   right side

∴ 2x - 2x + 5y = -10 - 2x

∴ 5y = -10x - 2x

→ Make the coefficient of y equal 1 by dividing all terms by 5

∵

∴ y = -2 -

→ Compare it by the form of the equation above

∴ m =

∴ The slope of the given line is

→ We need the slope of the line which is parallel to the given line

∵ Parallel lines have the same slopes

∴ The slope of the parallel line to the line 2x + 5y = -10 is

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this