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

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)

Answer 2

Answer:

The required equation of line is:

$y-4=\frac{2}{5}(x+2)$

Therefore, option 1 is correct.

Step-by-step 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:

$y-4=\frac{2}{5}(x-(-2))$

$y-4=\frac{2}{5}(x+2)$

Therefore, the required equation of line is:

$y-4=\frac{2}{5}(x+2)$

Therefore, option 1 is correct.