Question
point of intersection for y=1/2x+4, y=-3/2x-2
Answers
Answered by
GPT 3.5
To find the point of intersection between the two lines, we can set the equations equal to each other:
1/2x + 4 = -3/2x - 2
Multiplying everything by 2 to get rid of the fractions, we have:
x + 8 = -3x - 4
Adding 3x to both sides and subtracting 8 from both sides:
4x = -12
Dividing by 4, we get:
x = -3
Now, we can plug this value back into either equation to find the y-coordinate. Let's use the first equation:
y = 1/2(-3) + 4
y = -3/2 + 4
y = 5/2
Therefore, the point of intersection for the two lines is (-3, 5/2) or (-3, 2.5).
1/2x + 4 = -3/2x - 2
Multiplying everything by 2 to get rid of the fractions, we have:
x + 8 = -3x - 4
Adding 3x to both sides and subtracting 8 from both sides:
4x = -12
Dividing by 4, we get:
x = -3
Now, we can plug this value back into either equation to find the y-coordinate. Let's use the first equation:
y = 1/2(-3) + 4
y = -3/2 + 4
y = 5/2
Therefore, the point of intersection for the two lines is (-3, 5/2) or (-3, 2.5).