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Find the Equation of a Line Given That You Know Two Points it Passes Through. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.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. Use the m given in the problem, and the b that was just solved for, to create the equation y = mx + b.
- 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.
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How do you write an equation of a line that passes through two points?
Find the Equation of a Line Given That You Know Two Points it Passes Through. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
How do you find the equation of a line given that you know a point on the line and its slope?
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. Use the m given in the problem, and the b that was just solved for, to create the equation y = mx + b.
How to find the equation of a line given two points
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How do you find the equation of a line?
- 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 of the line that passes through the point (- 8 6 and has a slope of 1 4?
1 Expert Answer
The equation of the line will be y=Ax+B where we have to identify the constants A and B. Since the slope will be 1/4 we must have A=1/4. Since we need the line to pass through the point (-8,6) we have 6=(1/4)(-8)+B which is the same as 6=-2+B or B=8. Thus, y=(1/4)x+8.
What is the equation of the line that passes through the point (- 4 6 and has a slope of?
Slope =−3 and passes through point (4,−6) .
Find the equation of a line given two points
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What is the equation of the line that passes through the point (- 3 4 and has an undefined slope?
Undefined Slope Examples
The equation of the line passing through (3, -4) with an undefined slope is x = 3.
See some more details on the topic How do you find the equation of a line that passes through points? here:
Algebra 1 : How to find the equation of a line – Varsity Tutors
\displaystyle y=mx+b is the slope-intercept form of the equation of a line. Slope \displaystyle m is equal to \displaystyle …
Which of the following is the equation of the line that passes through the points (- 1/3 and (- 5 1?
Answer: The Equation of the Line Passing through the given Points (-1, 5), (1, 3) is x + y = 4.
How do you find the slope of two given points?
Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values. The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2.
What is the equation of the line that passes through the point − 8 5 − 8/5 and has a slope of 0?
1 Expert Answer
The equation is y = 5. Therefore y = mx + b and y = 0x + 5 or y = 5.
How To Find The Equation of a Line Given Two Points
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What is the equation of the line that passes through the point 4 − 4 and has a slope of?
Answer: The Equation in Point-Slope Form of the Line Passing through (4, -4) with Slope, m = 4 is 4x – y = 20.
What is the equation of the line that passes through the point (- 5 1 and has a slope of?
Now, we know that our new equation passes through the point (-5,-1) and has a slope of -4/5. So, y= -4/5x -5 (Slope-Intercept Form).
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