Step-by-step explanation:
In a linear equation in two variables (let's say \(x\) and \(y\)), there are a few different forms:
1. Slope-intercept form: \(y = mx + c\), where \(m\) is the slope of the line and \(c\) is the y-intercept.
2. Standard form: \(Ax + By = C\), where \(A\), \(B\), and \(C\) are constants, and \(A\) and \(B\) are not both zero.
3. Point-slope form: \(y - y_1 = m(x - x_1)\), where \(m\) is the slope of the line and \((x_1, y_1)\) is a point on the line.
These forms are different ways to represent the same relationship between \(x\) and \(y\) in a linear equation.
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Verified answer
Step-by-step explanation:
In a linear equation in two variables (let's say \(x\) and \(y\)), there are a few different forms:
1. Slope-intercept form: \(y = mx + c\), where \(m\) is the slope of the line and \(c\) is the y-intercept.
2. Standard form: \(Ax + By = C\), where \(A\), \(B\), and \(C\) are constants, and \(A\) and \(B\) are not both zero.
3. Point-slope form: \(y - y_1 = m(x - x_1)\), where \(m\) is the slope of the line and \((x_1, y_1)\) is a point on the line.
These forms are different ways to represent the same relationship between \(x\) and \(y\) in a linear equation.