Hey there--I'll give you an example:
Say you have a slope of 2, and the point (3,4).
Knowing that the format of the equation is y=mx+b (m is the slope), and that at one point, x MUST be 3 and y MUST be 4, plug in your variables to find b:
4=2(3)+b
^ ^ ^ ^
y m,x
So b= -2
The equation of the line is:
y=2x-2
If you want to double check, plug in that first point (3,4)
4=2(3)-2
4=4
Yay! :) Hope this helped!
If given simply the slope of a line and a point through which it passes, and then told to find the equation of the line, one of the easiest ways of doing so is to use the point-slope formula.
If given simply the slope of a line and a point through which it passes, and then told to find the equation of the line, one of the easiest ways of doing so is to use the point-slope formula.
If given simply the slope of a line and a point through which it passes, and then told to find the equation of the line, one of the easiest ways of doing so is to use the point-slope formula.
That will depend on the value of the slope which has not been given.
35
To identify the slope in a linear equation, rearrange the equation into the form y = mx + b. The term m is the slope.
If given simply the slope of a line and a point through which it passes, and then told to find the equation of the line, one of the easiest ways of doing so is to use the point-slope formula.
If given simply the slope of a line and a point through which it passes, and then told to find the equation of the line, one of the easiest ways of doing so is to use the point-slope formula.
If given simply the slope of a line and a point through which it passes, and then told to find the equation of the line, one of the easiest ways of doing so is to use the point-slope formula.
If given simply the slope of a line and a point through which it passes, and then told to find the equation of the line, one of the easiest ways of doing so is to use the point-slope formula.
That will depend on the value of the slope which has not been given.
35
Use point-slope formula
If the slope m is given at a point (xo, yo) of a line, then the equation of the line is given by: y - yo = m(x - xo)
If the algebraic equation is linear, in the form y = mx + b, the slope is simply m; the difference in y of any 2 points divided by the difference in x of those points (rise over run). If the equation is non-linear, the slope is the first derivative of that equation, from calculus. You woul need to know calculus to solve in this case. The slope will vary from point to point, unlike the linear case, where slope is constant.
Point: (-6, -2) Slope: 5 Equation: y = 5x+28
If you know the slope of the line that your equation is perpendicular too, you find the negative reciprocal of it and use it as the slope for the line. (negative reciprocal = flip the slope over and change its sign. Ex: a slope of 2 has a negative reciprocal of -1/2. ) Then you use the given point, and put your equation in point-slope form. The general equation for point slope form is Y-y1=m(x-x1) The y1 is the y coordinate of the given point. X1 is the x coordinate of the given point. M is the slope that you found earlier. You now have your equation. If you are asked to put it in slope intercept form, simply distribute the numbers and solve the equation for y.