MU123 Maths

This question is about plotting two points and drawing the straight line through them. Which TWO options are correct instructions for plotting two points which can then be used to draw the line y= -4x + 3. Select one or more: O Plot the points (1, -1) and (2, -9). Plot the point (0, 3). Trace 2 units horizontally to the right of this and 8 units down and plot the second point. Plot the point (3, 0). Trace 1 unit horizontally to the right of this and 4 units down and plot the second point. Plot the point (-4, 0). Trace 1 unit horizontally to the right of this and 3 units up and plot the second point. Plot the points (1, -1) and (-1, 7). Plot the points (-5, 2) and (2, -5).A line is parallel to y: 3x+ 5 and goes through the point [2, 12}. Choose the "1WD correct options from the following list. Select one or more: The equation of the line is y: 5x+ E. If two lines intersect at a point on the yaxis, they have the same xintercept. The equation cfthe line is y: 3x+6. If two lines intersect at a point on the :r-axis, they have the same y-intercept. If two lines are parallel, they have the same gradient. UCIDCIDCI The equation of the line is y: 3x+1i. At midnight, the depth of snow on a road is 4 cm. The snow falls at a steady rate and the depth increases by 1.6 cm per hour until 5 am, when it stops. At 9 am the snow starts to melt, so the depth decreases at a constant rate and by 5 pm, the road is clear. A graph of the depth of snow (in cm) against time since midnight is shown below. The horizontal scale is marked in hours using the 12 hour clock. Depth (cm) # 14- 12- 10 8- 6 2am 6am 10am 2pm 6pm Choose the TWO correct options about this graph from the following list. Select one or more: O The gradient of the line between midnight and 5 am represents the time when the snow started to fall. From midnight to 5 am, the gradient of the line is 4 cm/h. O The line is horizontal between the times of 5 am and 9 am. The intercept on the horizontal axis represents the depth of snow at midnight. The maximum depth of snow was 13 cm. Between the times of 9 am and 5 pm, the gradient of the line is positive. O Between 9 am and 5 om. the gradient of the line is about -1.5 cm/h.A mobile phone company has two phone call plans. In each call plan there is a fixed monthly fee and a price per phone call as follows: Monthly fee (E) price per call (E) Plan A 20 0.10 Plan B 10 0.20 Use P to represent the total cost per month (in pounds) and / to represent the number of phone calls per month and use the information in the table to write down two linear equations involving P and / for Plan A and Plan B respectively. Select the option that gives these equations. Select one: O N= 20 P+0.10, N= 10 P+ 0.20 O P=20 N+0.10, P= 10/+0.20 O N= 0.10 P + 20, N= 0.20 P + 10 O P=0.10 N+ 20, P=0.20 N+ 10