How do you find the equation when given the slope and a point?
How do you find the equation when given 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.
What is the equation of the line that passes through the point − 3 4 and has a slope of 11?
Answer: y = 5x – 11 is the equation of the required line.
How do you find the equation of a line given two points and the slope?
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.
How do you find the Y intercept with one point and the slope?
Using the “slope-intercept” form of the line’s equation (y = mx + b), you solve for b (which is the y-intercept you’re looking for). Substitute the known slope for m, and substitute the known point’s coordinates for x and y, respectively, in the slope-intercept equation. That will let you find b.
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.
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 slope of the line passing through the points 3/5 and 7?
The slope is 2 .
How do u write an equation in slope-intercept form?
The slope-intercept form is one way to write a linear equation (the equation of a line). The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). It’s usually easy to graph a line using y=mx+b.
What is the equation of the line that passes through the point − 4 4 and has a slope of − 2?
What is the equation of a line that passed through the point (-4,4) and has a slope of -2? – Quora. Start with the general equation of a straight line: y = mx + b, where m is the slope and b is the y intercept. Therefore, equation of line passing through point (-4,4) and has slope of -2 is 2X+Y+4=0.
How do you find a slope to an equation?
Find the number in front of the x, usually written as “m,” to determine slope. If your equation is already in the right form, y=mx+b{\\displaystyle y=mx+b}, then simply pick the number in the “m” position (but if there is no number written in front of x then the slope is 1).
What is the equation for finding the slope?
The formula for the slope of the straight line going through the points (X1, Y1) and (X2, Y2) is given by. M = (Y2 – Y1) / (X2 – X1) The answer, M is the slope of the line. It can be a positive or negative value.
How to find the slope from an equation?
1) Find the slope using m = (y2-y1)/ (x2-x1). The ordered pairs of the coordinates you have are listed as (x, y). 2) Replace the m in the slope-intercept formula with the slope you found. 3) Substitute x and y for one of the points you know to solve for the y-intercept. Pick one of the ordered pairs to put into the slope-intercept formula. 4) Solve the equation for b. Once you plug the x- and y-values as well as your slope into the formula, find the value of b in the equation. 5) Plug in the slope and y-intercept into the slope-intercept formula to finish the equation. Once you’re finished, plug in the slope for m and the y-intercept for b.
How do you find the slope of line given two points?
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points. Teachers use different words for the y-coordinates and the the x-coordinates.
