Equation of a Line Practice Questions

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1
For some real number n, the graph of the line y = (n + 1)x + 6 in the standard (x, y) coordinate plane passes through (4, 8). What is the value of n?
−1/2
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2
Which of the following graphs represents a line with a positive slope and a negative x-intercept?
a graph with a line pointing downwards represents a negative slope
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3
In the standard (x, y) coordinate plane, what is the equation of the line that passes through the origin and the point (3, 4)?
y=4/3x
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4
What is the x-coordinate of the point in the standard (x, y) coordinate plane at which the two lines y = −2x + 7 and y = 3x − 3 intersect?
2
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5
In the (x, y) coordinate plane, what is the y-intercept of the line 5x + 3y = 8?

8/3
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6
What is the x-coordinate of the point in the standard (x, y) coordinate plane at which the two lines y = −2x + 7 and y = 3x − 3 intersect?
2
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7
Given that y−5=12x+1 is the equation of a line, at what point does the line cross the x-axis?
-12
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8
The x-intercept of a line in the (x, y) coordinate plane is −6. If the slope of this line is 5, which of the following is the equation of this line in slope-intercept form?

y = 5x +30
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9
Which of the following equations represents the same line in the (x, y) coordinate plane as y/4+x=−1/2?
y = -4x -2
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10
If a line in the (x, y) coordinate plane has x-intercept (x, 0) and y-intercept (0, y) such that x > y, which of the following could be a graph of the line?
any graph with a negative slope and a y-int as 2
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