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2 votes
Graph the linear equation. Find three

points that solve the equation, then plot
on the graph.
X - 3y = -7

2 Answers

2 votes
I don’t know if this is right but I think it is X=-4
User Daniele Orlando
by
8.7k points
3 votes

The equation x - 3y = -7 is a linear equation in slope-intercept form. To graph this equation, we can start by putting it into slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. To do this, we can add 3y to both sides:

x = 3y - 7

To find the y-intercept, we can set x = 0 and solve for y:

0 = 3y - 7

3y = 7

y = 7/3

So the y-intercept of this line is (0, 7/3). To find the slope, we know that the coefficient of x is 1, so the slope is m = 1.

Now we can use the point-slope form of a linear equation to find three other points on the line:

y - 7/3 = 1(x - 0)

y = x + 7/3

We can find other three points by plugging in any value of x and solve for y:

(1, 4/3), (2,5/3), (3,6/3)

We can now plot these points on a graph and draw the line that passes through them.

The graph of the equation x - 3y = -7 is a line passing through the points (1, 4/3), (2,5/3), (3,6/3) and the y-intercept is (0,7/3)

User Likk
by
7.4k points

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