the equation 3x− 5=15 represents a straight line. a) find one point on this line. b)find the coordinates of the points when the line cuts the x−axis and the y−axis c)find the gradient of this line.


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Question Number 32792 by Rio Mike last updated on 02/Apr/18

$t h e e q u a t i o n$ $3 x - 5 = 15 r e p r e s e n t s a s t r a i g h t l i n e .$ $a) f i n d o n e p o i n t o n t h i s l i n e .$ $b) f i n d t h e c o o r d i n a t e s o f t h e p o i n t s w h e n$ $t h e l i n e c u t s t h e x - a x i s a n d t h e y - a x i s$ $c) f i n d t h e g r a d i e n t o f t h i s l i n e .$
Commented by Joel578 last updated on 02/Apr/18

$Did you mean 3 x - 5 = 15 + y or really 3 x - 5 = 15 ?$
Commented by Rio Mike last updated on 02/Apr/18

$i m e a n 3 x - 5 y = 15$
	Answered by Joel578 last updated on 03/Apr/18

	$3 x - 5 y = 15$ $y = \frac{3}{5} x - 3$ $(a) x = 10 \to y = 3$ $(b) Intersect with x - axis \to y = 0 \to x = 5 (5, 0)$ $With y - axis \to x = 0 \to y = - 3 (0, - 3)$ $(c) Gradient = coefficient x = \frac{3}{5}$
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