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

$m=\frac{(y2-y1)}{(x2-x1)}$

Let

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

Step $1$

Find the slope AB

$mAB=\frac{(2-0)}{(0-5)} \\ \\ mAB=-\frac{2}{5}$

therefore

the answer is the option B

$-\frac{2}{5}$

the graph in the attached figure