A line has a slope of -2 and a y-intercept of –3. Graph the line using the slope and y-intercept. Which of the following points lie on this same line?

(1.5 , 0) , (-6 , 9) , (3 , -9)

Step-by-step explanation:

First, you need to find the equation of the line, which is:

y = mx + c

Where m is the gradient (or slope) and c is the y-intercept. Simply replace these values with the one given to you:

y = -2x -3

Now, simply draw this line by finding two points,

x = 0

y = -2(0) - 3

y = -3 when x = 0

When x = 3

y = -2(3) - 3

y = -9 when x = 3

Now you can use these points to plot the graph. (attacthed a screenshot of it)

Now simply find which given co-ordinates fit on the line. The points on the line are:

(1.5 , 0) , (-6 , 9) , (3 , -9)

Hope this helps!

Step-by-step explanation:

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.