2019年1月19日 · To find the point-slope equation of a line, we use the formula: This equation represents the line with a slope of -12 that passes through the point (5, 3). We can also rearrange this equation into slope-intercept form (y = m x + b), if needed, by distributing and simplifying: Both forms are valid equations for the line, but the point-slope form is the one requested in the …

The point-slope form of linear equations is widely used in algebra. The equation clearly matches the point-slope format, allowing us to find the slope and point directly.

2019年1月10日 · To determine the point-slope equation of a line that is perpendicular to the given line and passes through the point (-3, 7), we can follow these steps: Find the perpendicular slope: The slope of a line that is perpendicular is the negative reciprocal of the original slope. Therefore, we calculate: p er e n d i c u l a r Convert to one of the choices: This can be distributed and …

The point-slope equation of the line passing through (8,−8) and (9,8) is y = 16x −136 . To find the point-slope equation of the line passing through the points (8,−8) and (9,8), we start by calculating the slope m using the formula:

2017年2月10日 · To find the linear function represented by the point-slope equation , we need to rearrange it into the slope-intercept form, which is m b. Here, represents the slope and represents the y-intercept.

2017年10月26日 · Now, we can see that this function is in slope-intercept form m b, where (the slope) and (the y-intercept). This matches with the multiple-choice option D. Therefore, the linear function representing the given point-slope equation is .

The calculations for the slope and substitution into the point-slope form are standard procedures in analytic geometry, widely taught in high school mathematics.

2019年7月15日 · The point-slope form of a linear equation is given by: is a point on the line and is the slope. Given the point , we identify and . Now, we can substitute these values into the equation. The equation would then become: or simplified to: is the slope of the line.

2021年10月12日 · Here, we have to find the equation of the line in point-slope form that matches th e graph passing through the points (6, 2) and (10, -1), we first need to find the slope (m) of the line using the formula:

2019年6月3日 · The point-slope equation of the line through the points (-5,4) and (1,6) is found by first calculating the slope between these two points, defined as the change in y divided by the change in x.