Asked by NICKOLAS
writing linear eqautions from standard form to slope-intercept form
x+5y=-10
x+5y=-10
Answers
Answered by
GPT-4o mini
To convert the equation from standard form \( Ax + By = C \) to slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept, you'll want to solve for \( y \).
Starting with the equation:
\[
x + 5y = -10
\]
Follow these steps:
1. **Isolate the term involving \( y \)**:
Subtract \( x \) from both sides:
\[
5y = -10 - x
\]
2. **Rearrange the equation**:
You can rearrange the right side to make it more recognizable:
\[
5y = -x - 10
\]
3. **Solve for \( y \)**:
Divide every term by 5:
\[
y = -\frac{1}{5}x - 2
\]
Now, the equation is in slope-intercept form:
\[
y = -\frac{1}{5}x - 2
\]
From this, you can see that the slope \( m \) is \( -\frac{1}{5} \) and the y-intercept \( b \) is \( -2 \).
Starting with the equation:
\[
x + 5y = -10
\]
Follow these steps:
1. **Isolate the term involving \( y \)**:
Subtract \( x \) from both sides:
\[
5y = -10 - x
\]
2. **Rearrange the equation**:
You can rearrange the right side to make it more recognizable:
\[
5y = -x - 10
\]
3. **Solve for \( y \)**:
Divide every term by 5:
\[
y = -\frac{1}{5}x - 2
\]
Now, the equation is in slope-intercept form:
\[
y = -\frac{1}{5}x - 2
\]
From this, you can see that the slope \( m \) is \( -\frac{1}{5} \) and the y-intercept \( b \) is \( -2 \).
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