Diagram 7 shows a trapezium abcd. the straight lines ab and cd are parallel. find(a) the equation of the straight lines cd(b)the x-intercept for the straight line cd

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Step-by-step explanation:

(a)

Since lines AB and CD are parallel then their slopes are equal

y = - x + 14 is in slope- intercept form ( y = mx + c )

with slope m = -

Hence slope of CD = -

D is the point (0, 7) ⇒ c = 7

y = - x + 7 ← equation of CD

(b)

to find the x- intercept let y = 0, in the equation and solve for x

- x + 7 = 0 ( multiply through by 2 )

- x + 14 = 0 ⇒ - x = - 14 ⇒ x = 14 ← x- intercept of CD

step-by-step explanation:

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y + 11 = (1/4)(x + 16)

step-by-step explanation: