Question

Which equation represents a line that passes through (–2, 4) and has a slope of 2/5? y – 4 = 2/5 (x 2) y 4 = 2/5 (x – 2) y 2 = 1/3 (x – 4) y – 2 = 1/3 (x 4)

Answer 1

The required equation of line is:

`y-4=(2)/(5)(x+2)`

Therefore, option 1 is correct.

Explanation:

We have been given a slope and a point

And we need to form the equation of line

We will use the formula for equation of line which is:

`y-y_1=m(x-x_1)`

Where m is the slope of the line.

here,
`y_1=4,x_1=-2`

On substituting the values we get:

`y-4=(2)/(5)(x-(-2))`

`y-4=(2)/(5)(x+2)`

Therefore, the required equation of line is:

`y-4=(2)/(5)(x+2)`

Therefore, option 1 is correct.

Answer 2

Equation of a line is given by y - y1 = m(x - x1); where m is the slope.
y - 4 = 2/5 (x - (-2))
y - 4 = 2/5 (x + 2)