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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)

2 Answers

3 votes

Answer:

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.

User Long Nguyen Duc
by
7.4k points
2 votes
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)
User Javiercf
by
8.0k points

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