Question

find the slope x intercept and y intercept of the line 3x–4y+11=0

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Answer 1

Question

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Equation of a line is 3x−4y+10=0. Find its

(i) slope,

(ii)x− and y- intercepts.

Easy

Solution

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given equation of line is

3x−4y+10=0

rewriting in general form

4y=3x+10

or

y=

4

3

x+

4

10

…(1)

and we know that general form a straight line is

y=mx+c …(2)

where m is slope of the line and c is the y-intercept of the line

hence, by comparing eq(1) and eq(2) we get

slope of line m=

4

3

(slope of line)

and y-intercept is defined as value of y at x=0

hence, from equation (1)

y=

4

3

×0+

4

10

or y=

4

10

(y-intercept)

and x-intercept is defined as value of x at y=0

hence, from equation (1) we get

0=

4

3

x+

4

10

3x=10

or x=−

3

10

(x-intercept)