1. Which line is the flattest (or is less steep)? Why?

a.y = 5x -6
b.y = 5x + 6
c.y = x - 3
d.y = 1/2x + 3
I think It is C.It has the smallest slope.

Someone Please Help me!

...Help me...

Doesn't d have the smallest slope? 0.5x.

Please...I just want to see..

Margie -- You need to develop some patience. The math teachers are obviously not online right now or one of them would have answered you.

Patience, please!

=)

.5 is the smallest slope.

To determine which line is the flattest or has the smallest slope, you can look at the coefficients of the x term in each equation. The slope of a linear equation in the form of y = mx + b is represented by the coefficient of x, which is m.

Let's examine each equation:

a. y = 5x - 6 - The coefficient of x is 5, so the slope is 5.

b. y = 5x + 6 - The coefficient of x is also 5, so the slope is 5.

c. y = x - 3 - The coefficient of x is 1 (implicitly written as 1x), so the slope is 1.

d. y = (1/2)x + 3 - The coefficient of x is 1/2, so the slope is 1/2.

Comparing the slopes, we can conclude that line c (y = x - 3) has the smallest slope or is the flattest out of the given options. The slope of 1 is smaller than both 5 and 1/2, making it the least steep line.

Therefore, your initial intuition was correct. Line c has the smallest slope.