The standard form of a linear equation is: A solution to a _____ equation is an

Question

The standard form of a linear equation is: A solution to a _____ equation is an _____ _____ (, ), which represents a _____ on the _____ of the _____. 3x + -6y = 5 Find three ordered pairs that satisfy this equation: Is (3, 1) a point on the line? _____. Why/not? An x-intercept of a graph is the _____ -_____ of the point at which the graph crosses the _____- axis. The y-coordinate of this point is always _____. An y-intercept of a graph is the _____ - _____ of the point at which the graph crosses the _____ - axis. The x-coordinate of this point is always _____. Draw a graph of a line that crosses both axes. Then circle and label both intercepts.

Explanation / Answer

4)
A solution to a LINEAR equation is an ORDERED PAIR (x,y)
which represents a POINT on the LINE of the XY-PLANE

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5)
3x + (-6y) = 5
3x - 6y = 5

When x = 0, y = -5/6
When x = 1, y = 2/-6 = -1/3
When x = 2, y = 1/6

So, (0 , -5/6)
(1 , -1/3)
(2 , 1/6)

(3,1)?
Plug in x = 3 and y = 1
3(3) - 6(1)
9 - 6
= 3
But on the right, we had 5
This doesnt satisfy
So, (3,1) is not a point on the line

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6)
x-coordinate of the point at which the graph crosses the x-axis
The y-cooridnate of this point is always ZERO

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y-intercept is the y-coordinate of the point at which the graph crosses the y-axis. The x-coordinate is always ZERO

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For the graph :
Just draw a line passing through the origin
Tat is it

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