Question

The line y = 3x – 6 meets the x – axis at the point A. Find the coordinates of A.

Answer 1

Answer:

To draw the graph for the given linear equation, we need to first plot the points which lie on it, join them to get a straight line.

Given, equation is 3x+2y=6=>y=−23x+3

Substitute different values of x in the equation and calculate to get corresponding values of y.

x

y=−23x+3

Point (x,y)

0

3(0,3)

20(2,0)4−3(4,−3)−26(−2,6)−49(−4,9)

Plot these points on the graph paper and join them using a straight line.

On observing the graph, we find that the line meets the x-axis at (2,0) and the y - axis at (0,3).



Answer 2

Answer:

your solution is as follows

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Step-by-step explanation:

$to \: find : \\ coordinates \: of \: point \: \: A \\ \\ so \: here \: a \: line \\ y = 3x - 6 \: \: meets \: the \: x - axis \: at \\ point \: A \\ thus \: then \\ A = (a,0) \\ \\ now \: comparing \: the \: equation \\ y = 3x - 6 \: \: with \: \: y = mx + c \\ we \: get \\ \\ m = 3 \: \: \\ c = - 6 \\ \\ so \: now \: then \\ (x1,y1) = ( 0, - 6) \\ (x2,y2) = (a,0) \\ \\ we \: know \: that \\ m = \frac{y2 - y1}{x2 - x1} \\ \\ 3 = \frac{0 - ( - 6)}{a - 0} \\ \\ 3 = \frac{0 + 6}{a} \\ \\ 3a = 6 \\ \\ a = 2 \\ \\ hence \: here \\ A = (2,0)$