MPM 1D - Review

Graphing Lines

1. Given the line 4x - 2y = 4, determine the following:

(a) x-intercept ______(d) Sketch the graph.

(b) y-intercept ______

(c) slope ______

e) the slope-intercept equation of the line ______

2.  a) Graph the line that passes through the point (–3, –2) and has a slope of

b) What is the equation of the line below? ______

3.  On the grid below, graph the lines y = 3 and x = –1

4. Write the relation 5x - 2y + 10 = 0 in slope y-intercept form.

5. The graph below shows the cost for Leadership Camp t-shirts.

a) How much will it cost to purchase 4 shirts? ______

b) What is the initial set up cost with FSS? ______

c) What is the cost per shirt? ______

d) How many shirts can we buy for $120? ______

e) Write an algebraic equation to represent the cost.

Cost = ______

f) How much will it cost to purchase 20 shirts with FSS?

6. On the graphs below, plot two points and draw and label a pair of parallel lines and a pair of perpendicular lines. Then, using a slope formula, show that your sketches are correct.

NOTE: You may NOT sketch lines that are vertical or horizontal.

PARALLEL LINES PERPENDICULAR LINES

Show your calculations: Show your calculations:

7. Find the equation of a line with a slope that passes through the point (6, -1).

8. Find the equation of a line that passes through the points (-2, 5) and (3, -5).

9. Write the equation of the line that is perpendicular to and passes through

the point (–4, 1).