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  3. 2 a straight line has equation y 12x ...

Question: 2 a straight line has equation y 12x ...

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2. A straight line has equation y = 1/2x + 4. (i) Write down the coordinates of a point that lies on the line. (ii) Find the x-intercept of the line. (iii) Is the line from part (a) parallel to the line y = 1/2x + 4? Explain why

3. Find the coordinates of the point where the lines with the following equations intersect: 2x + 3y = −8 4x − 5y = 17

4. A parabola has equation y = x2 + 5x − 9. (i) Find the y-intercept of the parabola. (ii) Does the point (1, 3) lie on the parabola? Justify your answer. (iii) By substituting x = 3 into the equation of the parabola, find the coordinates of the point where the line x = 3 meets the parabola. (iv) Find the coordinates of the points where the line y = 5 meets the parabola.

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