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Hi,
I have a grade 9 exam tomorrow and I am totally stuck on some of the review questions! One question is: Graph A(-1,-4) to B(2,2) Find the y-intercept on the line. How do you do that? I graphed the co-ordinates and made the line and found the slope, but how do you find the y-intercept? Second Question: Make up an equation of a line that is: parallel to y=-3x+4 How would you draw it parallel? Fourth question: y=-6 What is the slope and y-intercept for that? Last Question: How would you graph 4x-2y=8 and y=-3x+1 on the same grid? Sorry for all the questions, but if anyone has any advice on how to do these PLEASE PLEASE answer me before tomorrow! Thank you soo much! -Ca33 |
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Diamond Enthusiast![]() |
I'll answer them a litte out of order.
Remember that the basic equation for a straight line is Y=mx + b. m=slope, b = the intercept. You sound like you're just getting a little confused when the equations don't look quite the same.. Y=-6 is the same as Y=0x+(-6) It's a flat line with zero slope.. you can determine the intercept as the constant term. make up a new equation that is parallel to y=-3x+4... Parallel lines never meet so the slopes are equal... you just need to change the constant to get a parallel line. Graph your new equation to prove it to yourself. Plotting the two equations...on the same graph. you know how to do the y=-3x+1 (parallel to another line?) The 2nd equation can be rearranged.. 4x-2y=8 is the same as -2y=-4x+8 is the same as -y=-2x+4 is the same as y=2x-4 your first question is the hardest but not impossible. You've figured the slope using the rise over the run? (Y2-Y1)/(X2-X1). you can then use either point in the y=m(x)+b We know when X=2,your equation will make y=2 y=mx+b 2=(your slope)*2+b . rearrange 2-(your slope)*2= b the intercept of the y axis when x=0 practice practice practice..it'll come good luck.. better yet good skill |
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