1. The graph of a line that contains the points ( 1, 5) and (4, 5) is shown below. Which best represents this line if the slope is doubled and the y-intercept remains constant? F) G) H) J) 2. The graph of a linear function is shown on the coordinate grid below. If the y-intercept is changed to (0, 5) and the slope becomes 4, which statement best describes the relationship between the two lines when they are graphed on the same coordinate grid? F The y-intercepts are 1 unit apart, and the lines are parallel. G The y-intercepts are 1 unit apart, and the lines intersect at (1, 1). H The y-intercepts are 1 unit apart, and the lines are perpendicular. J The y-intercepts are 1 unit apart, and the lines intersect at (1, 0).
3. The original function y = 2 x + 4 is graphed on the same grid as the new 5 function y = 5 2 x + 4. Which of the following statements about these graphs is true? F The graph of the original function is steeper than the graph of the new function. G The graph of the original function is parallel to the graph of the new function. H The graphs intersect at (4, 0). J The graphs intersect at (0, 4). 4. Which best describes the effect on the graph of f (x) = 4x + 8 if the y-intercept is changed to 3? F G H J The slope decreases. The new line passes through the origin. The x-intercept increases. The y-intercept increases. 5. What will happen to the slope of line p if the line is shifted so that the y-intercept increases and the x-intercept remains the same? F G H J The slope will change from positive to negative. The slope will change from negative to positive. The slope will increase. The slope will decrease.
6. Which best describes the effect on the x-intercept of the graph of f (x) = 3 4 x 3 if the slope is changed to 3 4? A The x-intercept remains the same, and the new line is translated upward. B The x-intercept becomes negative, and the new line is parallel to the original line. C The x-intercept remains the same, and the new line is translated downward. D The x-intercept becomes negative, and the new line intersects the original line. 7. Given the function y = 3.54x 54.68, which statement best describes the effect of increasing the y-intercept by 33.14? A The new line is parallel to the original. B The new line has a greater rate of change. C The x-intercept increases. D The y-intercept decreases. 8. The graph of a line is shown below. If the slope of this line is multiplied by 1 and the y-intercept decreases by 2 units, which linear equation represents these changes? A y = 2x + 1 B y = x + 1 C y = x 1 D y = x 1
9. The line represented by the equation y = x + 3 is graphed below. Which of the following best describes the effect on the graph when the slope is doubled? A The y-intercept increases. B The y-intercept decreases. C The x-intercept increases. D The x-intercept decreases. 10. If the slope of the function y = 3.5x + 12.8 is changed to 1.5, which of the following best describes the graph of the new function? A The graph of the new function intercepts the y-axis at the same point as the original function. B The graph of the new function intercepts the x-axis at the same point as the original function. C The graph of the new function has a negative slope. D The graph of the new function has a positive x-intercept. 11. The graph of a linear function is shown below. If the line is translated 2 units down, which equation will best describe the new line? F y = 3x + 1 G y = 1 3 x + 1 H y = 3x + 5 J y = 1 3 x + 5
12. If the slope of the equation y = 3 5 x + 4 is changed to 3 5 and the y-intercept is changed to (0, 4), which statement best describes this situation? A B C D The new line is perpendicular to the original line. The new line is parallel to the original line. The new line and the original line have the same y-intercept. The new line and the original line have the same x-intercept. 13. The function y = 3x 8 is graphed below. In the function above, the slope will be multiplied by 2, and the y-value of the y-intercept will be increased by 2 units. Which of the following graphs best represents the new function? F G H J