Jan 19, 2026 · The point-slope form of a linear equation is given by y − y1 = m(x − x1 ), where (x1 ,y1 ) is a point on the line. We use the point (2, -4) as given in the problem.

Jan 12, 2026 · The point-slope formula y − y1 = m(x − x1) is a well-established method for deriving the equation of a straight line when you have a point on the line and the slope. This formula is commonly …

For example, if we had a different point, like (2, 3), and a different slope, such as -1, the equation would be y − 3 = −1(x − 2). This demonstrates how to apply the same formula to various points and slopes. …

Sep 21, 2020 · You can further simplify the equation to slope-intercept form, but the point-slope form itself is perfectly acceptable and useful for finding the equation of the line through two points. In …

Oct 25, 2018 · To find the point-slope equation of the line that passes through the points (6, 4) and (7, 2), we need to follow these steps: Calculate the slope (m): The slope of a line passing through two …

Oct 26, 2017 · This means that the point (2, 8) lies on the line represented by the function. The process followed adheres to the principles of manipulating the point-slope form into slope-intercept form, …

Aug 7, 2018 · Use point-slope form, y − y1 = m(x − x1), to find the linear equation of a line that passes through the points (2, -1) and (10, 7).

Jul 6, 2023 · The slope calculation is based on the standard formula for slope between two points, and the point-slope form is a standard formula taught in algebra for constructing the equation of a line.

Nov 10, 2016 · The point-slope form of the line that passes through (1, -5) and is perpendicular to a line with a slope of 1 is y + 5 = −1(x −1). This was determined by finding the negative reciprocal of the …

Apr 29, 2020 · The slope formula and point-slope form have been universally accepted methods in algebra to find the equation of a line. They are derived from the definitions of slope and the linear …