How do you find the equation of a graph from points?

How do you find the equation of a graph from points?

Steps to find the equation of a line from two points:

  1. Find the slope using the slope formula.
  2. Use the slope and one of the points to solve for the y-intercept (b).
  3. 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.

What is the equation of the line that passes through the point (- 3 2 and has a slope of?

You are given a point and a slope (m). X1 and y1 come from the point given (3,2) and m is the slope which is 2/3. Now, plug in your numbers to the equation. y – 2=2/3(x – 3) this is the equation of a line in point slope form.

Which equation has a slope of − 2 and passes through the point 1 − 6 )?

2 Answers. Dean R. and the equation is y−6=−2(x−−1) or y=−2x+4.

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 (- 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).

What is the equation of the line that passes through the point (- 3 4 and has a slope of?

Answer: y = 5x – 11 is the equation of the required line.

What is the equation of the line that passed through the point 4 3 and has a slope of 1?

Find the equation of the line that passes through the given point (-4, 3) with slope 1/2. Summary: The equation of the line that passes through the given point (-4, 3) with slope 1/2 is x – 2y + 10 = 0.

What is an equation of the line that passes through the points (- 6 5?

Since the slope is ∞ , this is a vertical line. Since a vertical line has a constant value of x and the line must pass through (−6,−5) , the equation is x=−6 .

What is the equation of the line that passes through the point 6 8 and has a slope of?

1 Expert Answer Since we want the slope to be 3 we have that A=3. Since we want the line to pass through the point (6,-8) we have that -8=3(6)+B or B=-26. Thus, the equation of the line is y=3x-26.

What is the equation of the line that passes through the point (- 4 2 and has a slope of?

y = 1/2 x + 4 Final answer! We have the point ( -4 , 2 ) so x1 = -4 and y1 = 2. The slope is still 1/2 so m = 1/2. y = 1/2 x +4 Final answer!

What is the equation of the line that passes through the point − 5’7 and has a slope of?

Summary: The slope-intercept form equation of the line passing through points (5, 7) and (8, 22) is y = 5x – 18.

What is the equation of the line that passes through the point (- 3 4 and has a slope of 11?

What is the equation of the line that passes through the point 3 4 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.

What is an equation of the line that passes through the points (- 4 3 has slope 1 2?

What is the equation of the line that passes through 3 4 − and with slope 2?

Summary: 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 vertical line through (- 5 2 )( − 5 − 2?

x = -5
What is the equation of a vertical line passing through (-5, -2)? Hence, the required equation of the vertical line passing through (-5,-2) is x = -5.

  • August 27, 2022