Question

draw a graph of line x-2y=3 from the graph find the coordinates of point. x=-5 and y=0

Answer 1

Slope will be 1/2.
y intercept will be -3/2
for x=-5, coordinates will be (-5,-4)
for y=0, coordinates will be (3,0)

Answer 2

Answer:

Graph the line:

$x-2y = 3$

⇒$x-3 = 2y$

⇒$y = \frac{1}{2}(x-3)$                       ....[1]

We make table for some values of x:

x                y

0               -1.5

1                -1

2               -0.5

3                 0

Plot these points on the graph as shown below.

Now, find the coordinates of point.

when x=  -5

Substitute the value in [1] we get;

$y = \frac{1}{2}(-5-3)=\frac{-8}{2}=-4$

⇒(-5, -4)

When y= 0

then;

$0= \frac{1}{2}(x-3)$

⇒$0=x-3$

Add 3 to both sides we get;

x = 3

⇒(3, 0)

Therefore, the coordinates of point are: (-5, -4) and (3, 0)