Keystone Review Graphing I: Points & Lines. 1. Which point satisfies the equation 2x + 3y = 8?
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1 Name: ate: 1. Which point satisfies the equation x + 3y = 8?. (1, 4). (, ). ( 1, 3). (, 4) 7. What are the coordinates of the point where the graph of the equation x + y = 8 crosses the y-axis?. (0, 8). (8, 0). (0, 4). (4, 0). Which point lies on the graph of the equation 3x + y = 9? 8. The graph of the equation x + 3y = 6 intersects the y-axis at the point whose coordinates are. ( 1, 9). (9, 0). (1, 1). (0, 9). (0, ). (0, 6). (0, 18). (6, 0) 3. The equation of a line is y = mx 1. Find the value of m if the line passes through the point (, 3). 9. The graphs of the equations 4x y = 6 and x + y = 4 intersect at the point whose coordinates are. (, ). (, 1) 4. If (k, 3) is a point on the graph of the equation x + y = 8, what is the value of k?. (1, 3). (, ). If (a, 3) is a point on the graph of the equation x + 3y =, then the value of a is t which point will the graphs of the equations x + y = 8 and x y = 4 intersect?. (0, 4). (4, 0). ( 4, 0). (, ) 6. What is the y-intercept of the graph of the equation y = 1 4 x 3? What is the slope of the line that passes through the points (4, ) and (7, 3)? page 1
2 1. The slope of the line determined by the points ( 3, ) and (, 3) is 18. In which graph does the slope of line l equal zero? zero. undefined 13. What is the slope of the line whose equation is y = x + 10? Which equation represents a line with a slope of?. y = x 1. y = x + 1. y = x. y = x Which graph represents a line that has a negative slope? 1. The slope of the graph of the equation x = 3 is undefined Two points whose coordinates are (4, 17) and (, a) determine a line whose slope is 6. Find the value of a. 17. The line that passes through point ( 1, 4) and point (6, y) has a slope of 7. Find y. page
3 0. Which is an equation for line l in the accompanying diagram? 3. The graph of which equation passes through points (0, 6) and (4, 1)?. y = x +. y = x 4. y = x 4. y = x +. y = 7 4 x + 6. y = 4 7 x + 6. y = 7 4 x + 6. y = 4 7 x Which phrase describes the graph of y = 1 on the coordinate plane?. a line parallel to the y-axis and 1 unit to the right of it 1. The diagram shows the graph of the line m. a line parallel to the y-axis and 1 unit to the left of it. a line parallel to the x-axis and 1 unit below it. a line parallel to the x-axis and 1 unit above it Which equation represents this line?. y = x + 1. y = 1 x +. y = x + 1. y = 1 x +. Which equation is equivalent to x + y = 6?. y = x + 6. y = 1 x 6. y = x + 3. y = 1 x + 3. Which is an equation of the line that passes through the point (, ) and has a slope of 3?. y = 3x 13. y = 3x 13. y = 3x y = 3x line is represented by the equation y = 3x 7. Which statement about the line is true?. The slope of the line is The y-intercept is 7.. Point (1, 4) lies on the line.. This line is parallel to the line whose equation is y = x 7. page 3
4 7. The graph of which equation does not pass through the origin? 3. Which is an equation of a line perpendicular to the line whose equation is y = 1 3 x?. y = x. y = x. y = 0. y = 1. y = 1 3 x +. y = 1 3 x. y = 3x. y = 3x + 8. Which statement is false about the line whose equation is y = x?. Its slope is. 33. Write an equation of the line that passes through the point (1, 6) and is parallel to the line whose equation is y = 3x.. It is parallel to the line whose equation is y = x +.. Its y-intercept is.. It is perpendicular to the line whose equation is y = 1 x. 34. Which is an equation of the line that has a y-intercept of and is parallel to the line whose equation is 4y = 3x + 7?. y = 3 4 x. y = 3 4 x + 9. What is the slope of a line perpendicular to the graph of the equation x 3y =?. y = 4 3 x. y = 4 3 x What is the slope of a line parallel to the line whose equation is y = x 3? 3. The slope of is 3 and the slope of is x. If, find the value of x Which equation represents a line parallel to the line whose equation is y = x 7?. y = x. y = 1 x 7. y = 7. y = 1 x Two lines are represented by the equations 1 y = 6x + 10 and y = mx. For which value of m will the lines be parallel? page 4
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