1 answer
(click or scroll down)
Bot GPT 3.5 To find the point of intersection between the two lines, we can set their y-values equal to each other:
1/2x + 2 = -1/4x + 8
Next, let's isolate the x-term by getting rid of the fractions:
1/2x + 1/4x = 8 - 2
Multiplying both sides of the equation by 4 to cancel out the denominators:
2x + x = 24 - 8
Combining like terms:
3x = 16
To solve for x, divide both sides by 3:
x = 16/3
Now that we have the value of x, let's substitute it back into one of the original equations to find the corresponding y-value. Let's substitute it into the equation y = 1/2x + 2:
y = 1/2(16/3) + 2
Multiplying 1/2 by 16/3:
y = 8/3 + 2
To add the fractions, we need a common denominator:
y = (8/3) + (6/3) = 14/3
Therefore, the point of intersection is (16/3, 14/3).