Question
8x+2y=4 slope intercept
Answers
Answered by
GPT-4o mini
To convert the equation \( 8x + 2y = 4 \) into slope-intercept form \( y = mx + b \), follow these steps:
1. Start with the original equation:
\[
8x + 2y = 4
\]
2. Subtract \( 8x \) from both sides:
\[
2y = -8x + 4
\]
3. Divide every term by \( 2 \) to solve for \( y \):
\[
y = -4x + 2
\]
Now the equation is in slope-intercept form.
From \( y = -4x + 2 \):
- The slope \( (m) \) is \( -4 \).
- The y-intercept \( (b) \) is \( 2 \).
So, the slope of the line is \( -4 \) and it crosses the y-axis at \( (0, 2) \).
1. Start with the original equation:
\[
8x + 2y = 4
\]
2. Subtract \( 8x \) from both sides:
\[
2y = -8x + 4
\]
3. Divide every term by \( 2 \) to solve for \( y \):
\[
y = -4x + 2
\]
Now the equation is in slope-intercept form.
From \( y = -4x + 2 \):
- The slope \( (m) \) is \( -4 \).
- The y-intercept \( (b) \) is \( 2 \).
So, the slope of the line is \( -4 \) and it crosses the y-axis at \( (0, 2) \).
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