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)
To determine the equation of a line that passes through the point (1, -4), we need additional information, such as the slope of the line or another point on the line. However, a general linear equation can be expressed in the form (y = mx + b), where (m) is the slope and (b) is the y-intercept. If you provide a slope or another point, I can help you find a specific equation.
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