Rajah
dilukis
selari
> menunjukkan garis
pada suatu satah
dengan CD.
lurus AB dan co yg
Castesan AB adalah
A
C(-2,0)
D(0,- 4)
B(-3,-5)
(a) Persamaan
garis
lurus AB
b) pintasan
-x
garis
lurus
AB

The equation of a straight line AB is y = -2x - 11.

The x-intercept of the line is .

Solution:

Given data:

C(-2, 0) and D(0, -4)

Slope of CD:

m = -2

AB and CD are parallel lines.

If two lines are parallel then their slopes are equal.

Therefore slope of AB = -2

AB passes through the point (-3, -5).

Point-slope formula:

Here, m = -2 and

y - (-5) = -2(x - (-3))

y + 5 = -2(x + 3)

y + 5 = -2x - 6

Subtract 5 on both sides, we get

y = -2x - 11

The equation of a straight line AB is y = -2x - 11.

To find the x-intercept,substitute y = 0 in the equation of a line.

0 = -2x - 11

Add 11 on both sides.

11 = -2x

Divide by -2 on both sides.

The x-intercept of the line is .

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step-by-step explanation: