Final answer:
Option C) y = -x + 8 is in Slope-Intercept Form with a slope of -1 and y-intercept of 8.
Step-by-step explanation:
The Slope-Intercept Form of a linear equation is given by:
�
=
�
�
+
�
y=mx+b
where:
�
m is the slope of the line,
�
b is the y-intercept (the point where the line crosses the y-axis).
Let's examine the given options:
A)
6
=
2
�
+
7
�
6=2x+7y - This equation is not in slope-intercept form.
B)
4
�
=
2
�
+
15
4x=2y+15 - This equation is not in slope-intercept form.
C)
�
=
−
�
+
8
y=−x+8 - This equation is in slope-intercept form (
�
=
�
�
+
�
y=mx+b) where the slope
�
m is -1 and the y-intercept
�
b is 8.
So, the correct answer is option C:
�
=
−
�
+
8
y=−x+8.