katieanielsen
Answered

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.

AGive the equation of that line.
BIndicate the slope of the line and the X and Y intercepts of that straight line.
CNow consider another straight line: Y = 7 – X. Draw this second line in your graph.

(The same graph that has the first line.)

DSolve algebraically for the intersection of these two lines and compare the result

with the graph you drew in question (c)

Verified Answer :

MissPhiladelphia

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)

View image MissPhiladelphia

Related Questions