Lines are described by equations of the form y = mx + b
The fast way of finding 'b' is to look for a place where x = 0 and plug in the x and y values into this equation. In the case of this line, when x = 0, y = 5:

5 = m(0) + b
5 = 0 + b
5 = b

To get the slope, 'm', we need to pick two points and divide the difference of their y values by the difference of their x values. Pick points where the line falls on the grid. The one we just used, (0,5), works well. So does (2,1).

Plug into the equation m = (y2-y1)/(x2-x1) to get m = (1-5)/(2-0) = -4/2 = -2

Our equation is y = -2x + 5

7 0

3 years ago

2.5m to 150 cm <br>express these ratios in its simplest form.

oksano4ka [1.4K]

Answer:

The ratios in the simplest form is 5:3

Step-by-step explanation:

Given that:

2.5m to 150cm

We have to express these ratios in simplest form but we will convert the quantities into same unit first.

Therefore,

Converting meters into centimeters

1 meter = 100 cm

2.5 m = 100*2.5 = 250 cm

Ratio form;

250 cm : 150 cm

As both the number are multiples of 50,

$\frac{250}{50}:\frac{150}{50}\\5:3$

Hence,

The ratios in the simplest form is 5:3

4 0

2 years ago