Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a, 0) and (0, b) is

X-intercept: ( , 0)
Y-intercept:

Question

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a, 0) and (0, b) is ​  ​
​
X-intercept: (  , 0)
Y-intercept:  ​
​

Quizplus · Accepted Answer

The intercept form of the equation of a line is given by:
x/a + y/b = 1

where (a, 0) and (0, b) are the x and y intercepts respectively.

We are given the x-intercept as (4, 0) and the y-intercept as (0, 3), so we have:

x/4 + y/3 = 1

Multiplying both sides by 12 (the least common multiple of 4 and 3) gives:

3x + 4y = 12

or

4y = -3x + 12

or

y = (-3/4)x + 3

Therefore, the equation of the line in intercept form is:

x/4 + y/3 = 1

or

3x + 4y = 12

or

y = (-3/4)x + 3

which matches Choice D.

Use the Intercept Form to Find the Equation of the Line