y-intercept remains constant?
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1 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).
2 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.
3 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
4 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 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
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
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