Question

Determine the intercepts of the line.

y +1=3(x-4)

X-intercept:
y-intercept:

Answer 1

Explanation:

Given

y + 1 = 3( x - 4)

y + 1 = 3x - 12

3x - y = 12 +1

3x - y = 13

Dividing both sides by 13 we get

3x - y = 1

13. 13

or x - y

13 13

3

Comparing with x/ a + y/b = 1

so

x-intercept(a) = 13/3

y-intercept (b) = 13

Answer 2

X-intercept: (13/3, 0)

y-intercept: (0, -13)

Explanation:

The x-intercept of a graph is the point of intersection between the x-axis and the graph. Since the x-axis is also the line y=0, the y-value of this point will always be 0.

The y-intercept of a graph is the point of intersection between the y-axis and the graph. Since the y-axis is also the line x=0, the x-value of this point will always be 0.

Finding x-intercept

0+1 = 3x -12

13=3x

x= 13/3

Finding y-intercept

y+1= -12

y= -13