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Determine the intercepts of the line Y+1=3(x-4)

User Olaf Hess
by
7.9k points

2 Answers

3 votes

Answer:

x-intercept =
(13)/(3)

y-intercept =
-13

Explanation:

We are given the following equation of a line and we are to find the x and y intercepts for it:


y + 1 = 3 ( x - 4 )

In order to find the x-intercept, we will substitute 0 in place of y to get:


0 + 1 = 3 ( x - 4 ) \\\\ 1 = 3 x - 12 \\\\ 3 x = 1 + 12 \\\\ x = \frac { 13 } { 3 }

And to find the y-intercept, we need to substitute 0 in place of x:


y + 1 = 3 ( 0 - 4 ) \\\\ y + 1 = -124 \\\\ y = - 12 - 1 \\\\ y = - 13

So the x-intercept is
(13)/(3) while the y-intercept is
-13.

User Ande
by
8.3k points
1 vote

ANSWER

y-intercept:

(0,-13)

x-intercept:


(4 (1)/(3) ,0)

EXPLANATION

The given line has equation


y + 1 = 3(x - 4)

At y-intercept , x=0.

This implies that;


y + 1 = 3(0 - 4)


y = - 12 - 1


y = - 13

The y-intercept is

(0,-13).

At x-intercept y=0,

This implies that;


0+ 1 = 3(x - 4)


(1)/(3) = x - 4


(1)/(3) + 4 = x


4 (1)/(3) = x

The x-intercept is


(4 (1)/(3) ,0)

User Bicentric
by
8.6k points

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