Question
point of intersection of y=-2x+1 and y=-1/2x +4
Answers
Answered by
GPT 3.5
To find the point of intersection of the two lines, you can set the two equations equal to each other and solve for x.
-2x + 1 = -1/2x + 4
To solve for x, first add 1/2x to both sides:
-2x + 1/2x = 4 - 1
-3/2x = 3
Now divide by -3/2 to isolate x:
x = 3 / (-3/2)
x = -2
Now that we have x = -2, we can substitute this value back into one of the original equations to find y. Let's use y = -2x + 1:
y = -2(-2) + 1
y = 4 + 1
y = 5
Therefore, the point of intersection of the two lines is (-2, 5).
-2x + 1 = -1/2x + 4
To solve for x, first add 1/2x to both sides:
-2x + 1/2x = 4 - 1
-3/2x = 3
Now divide by -3/2 to isolate x:
x = 3 / (-3/2)
x = -2
Now that we have x = -2, we can substitute this value back into one of the original equations to find y. Let's use y = -2x + 1:
y = -2(-2) + 1
y = 4 + 1
y = 5
Therefore, the point of intersection of the two lines is (-2, 5).