Answer:
the x- intercepts of the graphs are opposites
Explanation:
the equation ofa line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
f(x) = x + 3 ← in slope- intercept form
with slope m = 1
and
g(x) = - x + 3 ← in slope- intercept form
with slope m = - 1
Then the slopes of the lines are not the same.
• Parallel lines have equal slopes
the slopes m = 1 and m = - 1, are not equal, so linesare not parallel
the x- intercept is the point on the x- axis where the graph crosses it.
to find the x- intercept , let y = 0 and solve for x
note : y = g(x) = f(x) , then
for f(x)
x + 3 = 0 ( subtract 3 from both sides )
x = - 3
the x- intercept of f(x) = - 3
for g(x)
- x + 3 = 0 ( subtract 3 from both sides )
- x = - 3 ( multiply through by - 1 )
x = 3
the x- intercept of g(x) = 3
- 3 and 3 are opposites
Thus the x- intercepts of the graphs are opposites