Mathematics

Grade-8

Easy

Question

# Which equation represents the line containing points M and N?

- y = –4x – 3
*y *= 4*x *– 3

*y*= 4*x*– 3Hint:

Mathematics

Grade-8

Easy

Question

- y = –4x – 3
*y*= 4*x*– 3

Hint:

(y-y1) = (y2-y1) * (x-x1)

(x2-x1)

M (0,-3) and N (8,-5)

TO FIND-

Equation containing the points M & N.

SOLUTION-

We know that M (0,-3) and N (8,-5) are 2 points on the given line.

Hence, x1 = 0, y1 = -3, x2 = 8 and y2 = -5.

(y-y1) = (y2-y1) * (x-x1)

(x2-x1)

∴ [y - (-3)] = [-5 - (-3)] * (x - 0)

(8 - 0)

∴ y + 3 = -5 + 3 * x

(8 - 0)

∴ y + 3 = -2/8 * x

∴ y = -1/4 x - 3 ................... (Subtracting 3 on both sides)

FINAL ANSWER-

Option 'b' i.e. 'y = -1/4 x - 3' is the correct answer to the given question.