Answer:
The first two statements are true.
Click "The y-intercept of the line is 2" and "The graph is a straight line"
Explanation:
The most important thing to know for this question is the equation of a line, y=mx+c, where m is the slope of the line and c is the y-intercept (where the lines crosses the y-axis).
Our formula is y= -
x+2, which means the y-intercept is 2. Therefore, the first statement is true.
The equation follows the general equation for a straight line, so the second statement is true.
Our formula is y= -
x+2, which means the slope is -
, not
. Therefore, the third statement is not true.
For a line to pass through the origin (0,0), it's y-intercept must be 0, but we already know the y-intercept here is 2. Therefore, the fourth statement is not true.
To see if the line passes through (0, -2), we must sub these values into the equation and see if it makes sense
y= -
x+2?
-2=-
(0)+2?
-2 = 2? This is not true, so the last statement is also not true.