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.
Considering this, how do you find an equation of the line initial answer?
Correct answer:
These lines are written in the form y = mx + b, where m is the slope and b is the y-intercept. We know from the question that our slope is 3 and our y-intercept is –5, so plugging these values in we get the equation of our line to be y = 3x – 5.
One may also ask, how do you find the equation of a line with a calculator?
How do you find the equation of a line with one point and no slope?
How do you find the equation of a line with one point and Y-intercept?
How do you find the equation of a line with the slope and a 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 equation of a line with the slope and y-intercept?
How do you find the equation of a line without coordinates?
What is the equation of a line that passes through the points 1/3 and (- 2 5 )?
y = 2x + 1 this is slope-intercept form.
What is the equation of the line that passes through the points 4 6 and has a slope of?
1 Expert Answer
Y – 6 = -3/2 ( x – 4 ) is the equation of the line.
What is the y-intercept formula?
The y-intercept formula says that the y-intercept of a function y = f(x) is obtained by substituting x = 0 in it. Using this, the y-intercept of a graph is the point on the graph whose x-coordinate is 0. i.e., just look for the point where the graph intersects the y-axis and it is the y-intercept.