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!
y = -5x+2 in slope intercept form
An intercept is where the graph crosses an axis.A line in slope-intercept form is in the form y = ax + b, where "a" is the slope, and "b" is the y-intercept. For example, if y = 3x -4, the slope of the line is 3, and it crosses the y-axis at -4.
It is: y = mx+b whereas m is the slope and b is the y intercept
If you have any expression that defines a line, you can find the slope of the line. After you have found the slope of the line, you can then write an expression describing the line in slope intercept form. You can't define a slope-intercept form for any nonlinear equation, because the slope is always* changing; there are often several intercepts as well.
13
The slope intercept equation of a line is y=mx+b, where m is the slope of the line and b is the y-intercept.
The equation of a line in slope-intercept form is given by y = mx + b, where "m" represents the slope of the line and "b" represents the y-intercept.
y = -5x+2 in slope intercept form
This is the easiest form of this question, called the slope-intercept form. y = mx + b m is slope, and b is the y-intercept. The slope is 5, and the y-intercept is 2. ■
-1
An intercept is where the graph crosses an axis.A line in slope-intercept form is in the form y = ax + b, where "a" is the slope, and "b" is the y-intercept. For example, if y = 3x -4, the slope of the line is 3, and it crosses the y-axis at -4.
4
It is: y = mx+b whereas m is the slope and b is the y intercept
A line perpendicular to the x-axis does not have a slope nor a y-intercept and so it is not possible to answer the question.
The equation of a line written in slope intercept form has the form of y = mx + b. In this form, m is the slope of the line and b is the y intercept.
If you have any expression that defines a line, you can find the slope of the line. After you have found the slope of the line, you can then write an expression describing the line in slope intercept form. You can't define a slope-intercept form for any nonlinear equation, because the slope is always* changing; there are often several intercepts as well.
The slope of a vertical line is undefined and so there cannot be a slope-intercept form of the equation.