Mathematics

Grade-8

Easy

Question

# The equation of the line through the point (2, 3) with slope –2 is

- y = –2x + 7
- y = –2x + 3
- y = –2x + 1
- y = –2x – 1

Hint:

Mathematics

Grade-8

Easy

Question

- y = –2x + 7
- y = –2x + 3
- y = –2x + 1
- y = –2x – 1

Hint:

Point passing through the given line- (2,3)

Slope = m = -2

TO FIND-

Equation of the given line.

SOLUTION-

We know that point (2,3) passes through the given line and it has a slope of -2.

Hence, x1 = 2, y1 = 3, m = -2.

(y - y1) = m (x - x1)

∴ (y - 3) = -2 (x - 2)

∴ y - 3 = -2 (x) - 2 (-2)

∴ y - 3 = -2x + 4

∴ y = -2x + 4 + 3

∴ y = -2x + 7

FINAL ANSWER-

Option 'a' i.e. 'y = -2x + 7' is the correct answer to the given question.