Question

O graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line represented by 2x + 5y = 10?

a.-5/2
b.-2/5
c.2/5
d.5/2

Answer 1

2x + 5y = 10
Change to y = mx + b
subtract 2x from both sides
5y = -2x + 10
divide both sides by 5
y = -2/5x + 2
slope = -2/5
LETTER B

Answer 2

we have

`2x + 5y = 10`

we know that

the formula to calculate the slope is equal to

`m=((y2-y1))/((x2-x1))`

Let

`A( 5,0)\\B( 0,2)`

Step
`1`

Find the slope AB

`mAB=((2-0))/((0-5)) \\ \\ mAB=-(2)/(5)`

therefore

the answer is the option B

`-(2)/(5)`

the graph in the attached figure