Slope intercept form of question of line?

Answer 1

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!