Answer:
Option 2: (10, -34)
Step-by-step explanation:
Given the linear equation in slope-intercept form, y = -4x + 6, where the <u>slope</u>, <em>m</em> = -4, and the <u>y-intercept</u>, <em>b</em> = 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.
<h3>Option 1: (-10, 34)</h3>
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.
<h3>Option 2: (10, -34)</h3>
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.
<h3>Option 3: (5, 10)</h3>
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.
<h3>Option 4: (-5, 10)</h3>
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).
