Question

Find the equation of the line with slope 2/5 and y-intercept (0,−2).

Answer 1

Answer:

$\boxed {\tt y=\frac{2}{5}x-2}$

Step-by-step explanation:

If the slope and y-intercept is known, the equation of a line can be written using slope-intercept form.

$y=mx+b$

where m is the slope and b is the y-intercept.

We know that the slope is 2/5.

The y-intercept is (0,-2). For this form, we only need the y-coordinate, which is -2 in this case. Therefore, we can say the y-intercept is -2.

$m=2/5 \\b= -2$

Substitute the values into the formula.

$y=2/5x+ (-2)$

$y=2/5x-2$

The equation of the line is y=2/5x-2

Answer 2

Answer:

y

=

2

5

x

+

2

Explanation:

The equation of a line in  

slope-intercept form

is.

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

y

=

m

x

+

b

2

2

∣

∣

∣

−−−−−−−−−−−−−−−  

where m represents the slope and b, the y-intercept.

here  

m

=

2

5

and  

b

=

2

⇒

y

=

2

5

x

+

2

is the equation of the line

Step-by-step explanation:

y

=

2

5

x

+

2

Explanation:

The equation of a line in  

slope-intercept form

is.

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

y

=

m

x

+

b

2

2

∣

∣

∣

−−−−−−−−−−−−−−−  

where m represents the slope and b, the y-intercept.

here  

m

=

2

5

and  

b

=

2

⇒

y

=

2

5

x

+

2

is the equation of the line