Please help! 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? Check all that apply.
![Please help A line has a slope of 2 and a yintercept of 3 Graph the line using the slope and yintercept Which of the following points lie on this same line Chec class=](https://us-static.z-dn.net/files/da2/5f3a51a08628d28c8ff047a78c457f14.jpg)
Answer:
2. -1.5, 0
3. -6, 9
5. 3, -9
Step-by-step explanation:
Given parameters:
Slope = -2
y - intercept = -3
Unknown:
The point that lies on the line = ?
Solution:
To do the equation of the line,
y = mx + c
y and x are the coordinates
m is the slope
c is the y -intercept
Input the parameters:
y= -2x -3
The points that lie on the line will conform with the equation:
y + 2x = -3
1. -2, 0
y = 0 and x = -2
0 + (-2)2 = -4
2. -1.5, 0
y = 0 and x = -1.5
0 + 2(-1.5) = -3
3. -6, 9
y = 9, x = -6
9 + 2(-6) = 9 - 12 = -3
4. 2, -3
y = -3 and x = 2
-3 + 2(2) = -3 + 4 = 1
5. 3, -9
y = -9, x = 3
-9 + 2(3) = -9 + 6 = -3
6. -4, 4
y = 4 , x - 4
4 + 2(-4) = 4 - 8 = -4
The boldened coordinates line on the same line.