Mathematics

Grade-8

Easy

Question

# The slope and y-intercept of the relation represented by the equation 12x – 9y + 2 = 0 are

Hint:

Mathematics

Grade-8

Easy

Question

Hint:

We will simplify the given equation and compare the same with slope point form of an equation to find the value of its slope and y-intercept.

12x - 9y + 2 = 0

TO FIND-

Slope and y-intercept.

SOLUTION-

We will simplify the given equation to bring it into the slope point form of an equation i.e. y = mx + c, where slope = m and y-intercept = c as follows-

12x - 9y + 2 = 0

∴ -9y = -12x - 2 ................................ (Subtracting 12x and 2 from both sides)

i.e. y = -12/-9 x -2/-9 ....................... (Dividing both sides by -9)

∴ y = 4/3 x + 2/9

Comparing the above equation with y = mx + c, we get-

Slope = m = 4/3 and y-intercept = c = 2/9.

FINAL ANSWER-

Option 'd' i.e. 'Slope: 4/3, y-intercept: 2/9' is the correct answer to the given question.