Which point lies on the line described by the equation below?y + 4 = 4(x - 3)A.(-2, 3)B.(1, 11)C.(3, -4)D.(2, 9)E.(0, 0)F.(1, -11)
Question
Which point lies on the line described by the equation below?
y + 4 = 4(x - 3)
A. (-2, 3)
B. (1, 11)
C. (3, -4)
D. (2, 9)
E. (0, 0)
F. (1, -11)
Solution
To find out which point lies on the line described by the equation y + 4 = 4(x - 3), we need to substitute the x and y coordinates of each point into the equation and see if the equation holds true.
Let's start with option A.(-2, 3)
Substitute x = -2 and y = 3 into the equation:
3 + 4 = 4(-2 - 3)
7 = -20, which is not true. So, point A does not lie on the line.
Next, let's try option B.(1, 11)
Substitute x = 1 and y = 11 into the equation:
11 + 4 = 4(1 - 3)
15 = -8, which is not true. So, point B does not lie on the line.
Next, let's try option C.(3, -4)
Substitute x = 3 and y = -4 into the equation:
-4 + 4 = 4(3 - 3)
0 = 0, which is true. So, point C does lie on the line.
We can stop here because we have found the point that lies on the line. So, the answer is C.(3, -4).
Similar Questions
Which point lies on the line described by the equation below?y + 3 = 2(x - 1)A.(2, 9)B.(-1, -6)C.(1, -4)D.(1, -3)E.(0, 0)F.(2, 1)
Which point lies on the line described by the equation below?y + 8 = 4(x - 5)A.(-5, -8)B.(5, 0)C.(5, 8)D.(4, -8)E.(5, -8)F.(4, 5)
Determine the equation of a straight-line that passes through two points (4;4)(4;4) and (−2;−2)(−2;−2). A.y=x−4𝑦=𝑥−4B.y=x+8𝑦=𝑥+8C.y=−x−4𝑦=−𝑥−4D.y=x
What is the y-intercept of the line given by the equation y = 3x - 11?A.(0, -11)B.(0, 11)C.(0, 3)D.(0, -3)
Given the line y-4 =3(x-2), which of the following is the correct point that passes through and has the correct slope?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.