REGENTS-ALGEBRA Linear Equations & Functions

Question 1

What is the slope of the line represented by the equation y = 3x - 7?

Accepted Answer

3

Answer

In slope-intercept form y = mx + b, the coefficient of x is the slope, which is 3.

Question 2

Which equation represents a line with a slope of -2 and a y-intercept of 5?

Accepted Answer

y = -2x + 5

Answer

Slope-intercept form is y = mx + b where m = -2 and b = 5, giving y = -2x + 5.

Question 3

What is the y-intercept of the line 4x + 2y = 12?

Accepted Answer

6

Answer

Setting x = 0 gives 2y = 12, so y = 6; the y-intercept is 6.

Question 4

The slope of the line passing through points (2, 5) and (6, 13) is:

Accepted Answer

2

Answer

Slope = (13 - 5) / (6 - 2) = 8 / 4 = 2.

Question 5

Which of the following lines is parallel to y = 4x + 1?

Accepted Answer

y = 4x - 3

Answer

Parallel lines have the same slope; y = 4x - 3 has slope 4, same as the original line.

REGENTS-ALGEBRA - Algebra Regents Practice Test