Question

Charlie graphs the equation y= –1/2x 2 . select all statements about charlie's graph that are true.
a. the graph is a straight line.
b. the line does not pass through the origin.
c. the line passes through the point (0, –2) .
d. the slope of the line is 12 .
e. the y-intercept of the line is 2.

Answer 1

The equation is
y = 1/2 x + 2
Formula of the linear equation ( in slope-intercept form ):
y = m x + b
m = 1/2,  b = 2
0 = - 1/2 * 0 + 2
0 ≠ 2 ( it does not pass through the origin )
- 2 = 1/2 * 0 + 2
- 2 ≠ 2
Answer:
True statements are:
A ) The graph is a straight line.
B ) The line does not pass through the origin.
E ) the y-intercept of the line is 2.