How do you find the equation of a line that passes through a point?
How to Find the Equation of a Line from Two Points
- Find the slope using the slope formula.
- Use the slope and one of the points to solve for the y-intercept (b).
- Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.
Which one of the following is the nearest point on the line 3x 4y 25 from the origin?
(3,−4)
What is the equation of a line that passes through 3 4?
The equation of the line that passes through (3, 4) and (2, -1) in slope-intercept form is y = 5x – 11.
What is the equation of the line which passes through the point 3/4 and sum of its intercepts on the axes is 14?
The equation of the line(s) which passes through the point (3,4) and its sum of the intercepts on the axes is 14 is/are. x+y−7=0.
How do you find the equation of a line that has the given slope and passes through the given point?
These are the two methods to finding the equation of a line when given a point and the slope:
- Substitution method = plug in the slope and the (x, y) point values into y = mx + b, then solve for b.
- Point-slope form = y − y 1 = m ( x − x 1 ) , where ( x 1 , y 1 ) is the point given and m is the slope given.
How do you find the nearest point to a line?
How do i find the closest point on a line?
- Calculate the slope of a line perpendicular to your line.
- Calculate a line that passes through your point with the slope determined above.
- Calculate the point that this new line intersects with the existing line.
How do you find the closest point on the origin to the line?
The point closest to the given line from the origin, will be the intersection of the perpendicular line passing through the origin. 3x – 4y = 25 can be written as y=3x/4 – 25/4. The slope of this line is 3/4. So, the slope of the line perpendicular to the given line is – 4/3.
What is the equation of the line that goes through the points 2 3 and 4 6 )?
Answer: The equation of a line passing through the points (2, 3) and (4, 6) is 3x – 2y = 0.
What is the equation of the line that passes through 3 2 and 5?
Therefore, the equation of the line is y = 3/2 x + 5.
How do you get the equation of a line?
To find an equation of a line given the slope and a point.
- Identify the slope.
- Identify the point.
- Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .
- Write the equation in slope-intercept form.
What is the equation for a line with an undefined slope that passes through point (- 5 3?
1 Expert Answer If a line has an undefined slope, it is a vertical line with constant x coordinate value. Since it passes through (5,-3), the equation of the line must be x=5.