how do you come up with a equation for a line?? helpppp!!!!
What are you given? two points? point and slope?
you have to find the slope then do this formula. y=mx+b and plug it in.
That is exactly what I would do.
find the slope (Y2-Y1)/(X2-X1)
call it m
like if point 1 was (2,1) and point 2 was (3,6)
m = (6-1)/(3-2) = 5
then you have something like
y = 5 x + b if m came out 5
now all you have to do is put one point in and solve for b
like if point 1 was (2,1)
1 = 5 (2) + b
1 = 10 + b
b = -9
so the line is
y = 5 x - 9
To find the slope of a line: use this equation: (y2-y1)divided by (x2-x1
EX. your two points are (4,2) and (5,5). The equation would go like this: (5-2)/(5-4)=3/1=3. Therefore, the slope of the line is 3.
About the y=mx+b, you plug in the slope in place of x and the y-intercept in place of b (I'm pretty sure the y-intercept is the point at which the line meets up with the y-axis [in this case, is (0,-10),], so b would be -10). Leaving the resulting equation as y=3x-10.
So to solve this, use the formula for slope, find the y-intercept, and plug in the two values. Hope this helps!
To come up with an equation for a line, you need a couple of pieces of information:
1. The slope (m) of the line: This represents how steep the line is. It determines how much the line rises or falls for every unit it moves horizontally.
2. The y-intercept (b) of the line: This is the point where the line intersects the y-axis.
Once you have these two pieces of information, you can use the slope-intercept form of a line, which is written as:
y = mx + b
In this equation:
- 'y' represents the y-coordinate of a point on the line.
- 'x' represents the corresponding x-coordinate of that point.
- 'm' represents the slope of the line.
- 'b' represents the y-intercept of the line.
To find the equation for a line:
1. Determine the slope (m) of the line. This can be done by finding the difference in y-coordinates divided by the difference in x-coordinates between two points on the line. Alternatively, if you know any two points on the line, you can use the formula: m = (y₂ - y₁) / (x₂ - x₁).
2. Identify the y-intercept (b) of the line. This is the point where the line crosses the y-axis. You can determine this value from the given information or by finding the y-coordinate when x = 0.
3. Plug the values of 'm' and 'b' into the slope-intercept form equation y = mx + b.
Let's say you are given a line with a slope of 2 and a y-intercept of 3. The equation of this line would be y = 2x + 3.
Remember, the slope-intercept form (y = mx + b) is just one way to represent a line. There are other forms, such as the standard form and point-slope form, depending on the given problem or situation.