Question

Find the slope of the graph

Answer 1

From the General Equation of a straight line

Y=Mx + c

where M = Slope of the line

c= Intercept on Y axis

y=-4.2x-80

Comparing with the Eqn of a straight line

Slope = -4.2

From the Options the answers are in Fractions

You can easily convert this figure to fraction by Moving the decimal to the back once and then divide by 10

Then we have -42/10

Reducing Further

you have = -21/5.

Option D✅

Answer 2

`D. -(21)/(5)`

Explanation:

Hello!

Slope-Intercept Form:
`y = mx +b`

• m = slope
• b = y-intercept

Given our equation:
`y = -4.2x - 80`

• slope = -4.2
• y - intercept = -80

We basically have to find the fraction that represents -4.2.

Since the number is negative, we can narrow down three possibilities:

• -80
• -5/21
• -21/5

-80 is not -4.2, and -5/21 is less than 1. So the correct option is -21/5.