Equation of a Line Practice Questions

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

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

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

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

In the (x, y) coordinate plane, what is the y-intercept of the line 5x + 3y = 8?

8/3

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

Given that y−5=12x+1 is the equation of a line, at what point does the line cross the x-axis?

-12

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

Which of the following equations represents the same line in the (x, y) coordinate plane as y/4+x=−1/2?

y = -4x -2

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