Question

Let the horizontal axis be the X variable and the vertical axis be the Y variable. There

are two points. At point A, X has a value of 2 and Y has a value of 2 and at point B, X
has a value of 4 and Y has a value of 6.
Draw a straight line passing through both points.
a. Give the equation of that line.
b. Indicate the slope of the line and the X and Y intercepts of that straight line.
c. Now consider another straight line: Y = 7 – X. Draw this second line in your graph.
(The same graph that has the first line.)
d. Solve algebraically for the intersection of these two lines and compare the result
with the graph you drew in question (c)

Answer 1

We are given wit the coordinates
(2,2)
and
(4,6)

a. The equation of the line is
y = 2x - 2
b. The slope of the line is
m = 2
c. (see attached photo)
d. The intersection is (using substitution)
2x - 2 = 7 - x
2x + 1 = 7 + 2
3x = 9
x = 3
y = 2(3) - 2
y = 4
(3,4)