If a graph of the function y = 3x² -5x - 7 is provided,
the roots of the equation 3x² - 2x -5 = 0 are given by the points of intersection of the curve y = 3x² -5x - 7 and the line

Which of the following lines is perpendicular to the line 5x + 2y = 6?

 Line Q has the equation 5y – 3x = 45.  If Line S is perpendicular to Q, has an integer for its y-intercept, and intersects Q in the second quadrant, then how many possible Line S’s exist?  (Note: Intersections on one of the axes do not count.)

 Which point is the reflection of the point (–7, 5) over the line y = –x?

 Find the coordinates of the point which will divide the line joining the points (3, 5) and (11, 8) externally in the ratio 5: 2.

The point (1, -2)is located on the graph of a linear function.
If y increases by 3 units for each unit increase in x,
the equation of the function is

In the figure, the point on segment JK that is four times as far from K as it is from J is:

 In a coordinate system, P = (2, 7) and Q = (2, –3).  Which could be the coordinates of R if PQR is an isosceles triangle?

          I. (12, –3)

          II. (–6, –9)

          III. (–117, 2)

Find the equations of the straight lines joining (m, 2n) and (3m, n)

 What is the slope of the line passing through the points J (-2, 3) and (2, 7)?

Find the area of the triangle formed by the vertices (4, 5), (10, 12) and (-3, 2)

Point W = (5, 3).  Circle J has a center at point W and radius of r = 5.  This circle intersects the y-axis at one intercept and the x-axis at two intercepts.  What is the area of the triangle formed by these three intercepts?

 Line M has a y-intercept of –4, and its slope must be an integer-multiple of 1/7. 

Given that Line M passes below (4, –1) and above (5, –6), how many possible slopes could Line M have?

Which of the following pairs of graphs cannot be used to find the solution to the cubic equation x³ -3x² + 3x - 9 = 0 ?

The points of intersection of the curve
y = -2x² - x + 3 with the coordinate axes are

 In the x-y plane, point (p, q) is a lattice point if both p and q are integers.  Circle C has a center at (–2, 1) and a radius of 6.  Some points, such as the center (–2, 1), are inside the circle, but a point such as (4, 1) is on the circle but not in the circle.  How many lattice points are in circle C?

Find the co-ordinates of the point of intersection of the medians of triangle MNO; given M = (-2, 3), N = (6, 7), O = (4, 1).

Find the equations of the straight lines joining (0, 3), (2, 0)

 Find the co-ordinates of a point on x-axis, which is at a distance of 5 units from the point (6, -3).

The points of intersection of the graphs of y = x² + 2 and y = 2x + 5 when drawn on the same set of axes are

Find the equation of the line passing through (2, -1) and parallel to the line 2x – y = 4.

The maximum value of y in the equation y = 1 + x - 4x² is

Which of the following lines is not parallel to the line x - 2y = 5 ?

The intercept of the line y = 3x on the x-axis is

The graph of the function
2y = x² - x - 6 intersects the y axis at the point