Question

4.5.
A line has the equation
y=x+3
Write down the coordinates of the point where the line intersects the v-axis.
Answer
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Write down the coordinates of the point where the line intersects the x-axis.
Answer

Answer 1

Given:

The equation of line is

$y=x+3$

To find:

The x-intercept and y-intercept.

Solution:

The equation of line is

$y=x+3$

Putting x=0, we get

$y=0+3$

$y=3$

So, the y-intercept is (0,3).

Putting y=0 in the given equation, we get

$0=x+3$

$-3=x$

So, the y-intercept is (-3,0).

Therefore, the coordinates of the point where the line intersects the y-axis are (0,3). The coordinates of the point where the line intersects the x-axis are (-3,0).