Question

THERE IS 5 QUESTIONS I NEED TO GET DONE IN TOTAL, BUT IT WONT LET ME PUT MANY PICS IN ONE QUESTION SO PLS GO TO MY ACC AND VIEW THE OTHER ONES!!I NEED THIS BY **TODAY**

(TY WHOEVER COMPLETES THESE <3333 )​

Answer 1

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= -
`(1)/(2)`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= -
`(1)/(2)`x+2, which means the slope is -
`(1)/(2)`, not
`(1)/(2)`. 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= -
`(1)/(2)`x+2?

-2=-
`(1)/(2)`(0)+2?

-2 = 2? This is not true, so the last statement is also not true.

Answer 2

A. yes the y-intercept is 2

B. the graph is a straight line

C. The Slope of the Line is 1/2

D. The line Does Not pass through the origin

Explanation:

A. the y-intercept is when x=0... y=(
`(-1)/(2)`*0)+2

B. It is a straight line because x is raised to the 1st power and not another number

C. Although the slope of the equation is
`(-1)/(2)`... the slope is still 1/2

D. The line Does Not pass through the origin

origin= (0,0)

x=0 --> y=(
`(-1)/(2)`*0)+2=

y=0---> 0=(
`(-1)/(2)`*x)+2

`(-x)/(2)`=2---> x=-4