Question

Which of the following points would be on the graph of the equation: y=-4x+6

Answer 1

Answer:

Option 2: (10, -34)

Step-by-step explanation:

Given the linear equation in slope-intercept form, y = -4x + 6, where the slope, m = -4, and the y-intercept, b = 6:

An easier way of finding out which of the given options is a solution is to substitute their values into the equation to see whether they will provide a true statement.

Option 1: (-10, 34)

Substitute x = -10, and y = 34 into the equation.

y = -4x + 6

34 = -4(-10) + 6

34 = 40 + 6

34 = 46 (False statement). Hence, Option 1 is not a solution to the given equation.

Option 2: (10, -34)

Substitute x = 10, and y = -34 into the equation.

y = -4x + 6

-34 = -4(10) + 6

-34 = -40 + 6

-34 = -34  (True statement). Hence, Option 2 is a solution to the given equation.

Option 3: (5, 10)

Substitute x = 5, and y = 10 into the equation.

y = -4x + 6

10 = -4(5) + 6

10 = -20 + 6

10 = -14  (False statement). Hence, Option 3 is not a solution to the given equation.

Option 4: (-5, 10)

Substitute x = -5, and y = 10 into the equation.

y = -4x + 6

10 = -4(-5) + 6

10 = 20 + 6

10 = 26  (False statement). Hence, Option 4 is not a solution to the given equation.

Therefore, the correct answer is Option 2: (10, -34).