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Answer (4)
That's the point-slope form of the equation of a line.
The equation in question is the Point-Slope Form of a line, while y = mx + b represents the Slope-Intercept Form. The slope (m) determines the steepness, and the y-intercept (b) indicates where the line crosses the y-axis.
The point-slope form of the line is represented as y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line, and m is the slope of the line. This form is useful for writing the equation of a line given a point and its slope.
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. The slope of a line represents the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line.
In general linear form , the equation of a line is written as Ax + By = C, where A, B, and C are constants. This form is different from the slope-intercept and point-slope forms but can represent the same line.
The equation y − y 1 = m ( x − x 1 ) is known as the Point-Slope Form of the Line, which is useful for writing the equation of a line when you know a point on the line and the slope. This form can be converted to the Slope-Intercept Form through algebraic manipulation. Thus, the correct answer is C.
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