Moving from (-4, -9) to (5, 3), x (the 'run') increases by 9 from -4 to 5, and y (the 'rise') increases by 12 from -9 to +3. Thus, the slope of the line connecting the two points is

m = rise / run = 12/9 = 4/3

It may help to think of the change in x (9) as the horizontal leg of a right triangle and the change in y (12) as the vertical leg. Then

m = (vertical leg length) / (horizontal leg length) = 12/9 = 4/3

5 0

3 years ago

Lara planted some seeds. For every 3 seeds Lara planted, only 2 seeds grew.

Tresset [83]

Given:

For every 3 seeds Lara planted, only 2 seeds grew.

Altogether, 12 seeds grew.

To find:

The number of total seeds planted by Lara.

Solution:

It is given that for every 3 seeds Lara planted, only 2 seeds grew. It means the ratio of total seeds planted to seeds grew is 3:2.

Altogether, 12 seeds grew.

Let x be the number of total seeds planted by Lara. Then,

$x:12=3:2$

$\dfrac{x}{12}=\dfrac{3}{2}$

$x=\dfrac{3}{2}\times 12$

$x=18$

Therefore, the total number of seeds planter by Lara is 18.

3 0

3 years ago