HOW TO FIND THE SLOPE AND Y-INTERCEPT OF A LINE
to find the slope, you need 2 coordinates on the line. So, 2 sets of (x, y) which will be:
(x1,y1) and (x2,y2) you will then perform the following to find the slope of the line
(y2-y1)/ (x2-x1). (so you do y2-yi divided by x2-x1) This is how you find the slope.
If you want to find the y-intercept (represented by the variable b), substitute one of your given points (from question 1) and your slope (which is represented by the variable m) into this equation:
y= mx + b
So, you know the values of x, y (your coordinates) and m (your slope). Substitute the values to solve for b. Then, this will be your final equation of the line.
Remember that if the lie goes down from left to right, the slope is negative. If the line goes up from left to right, the slope is positive.
* Important To Remember*
-If the line is horizontal, the slope is zero
-If the line is vertical, the slope is UNDEFINED
-If a line goes vertically on the x- axis the equation will be "x = that number that crosses the x- axis" since the line will not have a y-intercept since it doesn't cross the y- axis.
*TIPS*
When doing questions with slopes and y-intercepts, graph the line first!
23
If you mean: y = 12x-23 then the slope is 12 and the y intercept is -23
If you mean y = 23x-7 then the slope is 23 and the y intercept is -7
If you mean points of (2, 3) and (4, 3) then the slope is 0 and it is a horizontal straight line parallel to the x axis
12 + 23 + 14 + 11 = 60/4 = 15 The average is therefore 15.
The slope intercept form through 23 and 15 would be 5. This is considered as a math equation.
23
If you mean: y = 12x-23 then the slope is 12 and the y intercept is -23
-17/23 and the intercept is 25/23
23
If you mean y = 23x -2 then it is a straight line equation whereas 23 is the slope and -2 is the y intercept
35
the slope intercept formula is y=mx+b and m is the slope. If we solve our original equation given in question we get this equation in y=mx+b format.. y=3x-23 so looking at this equation we can say the slope is 3
If you mean y = 23x-7 then the slope is 23 and the y intercept is -7
Slope=8 point=(-7,3)
Two or more coordinates are needed to determine the slope of a line
Points: (-3, -23) and (5, 9) Slope: 4 Equation: y = 4x-11