A zero slope is just the slope of a horizontal line! The y-coordinate never changes no matter what the x-coordinate is!

horizontal line

This relationship is always true: a vertical line will have no slope, and “the slope is undefined” or “the line has no slope” means that the line is vertical. (By the way, all vertical lines are of the form “x = some number”, and “x = some number” means the line is vertical.

If a line has a slope of 0, this means that it is a horizontal line, which means that for any x value, its y value is the same. So, out of your above choices, only B fits.

The slope is 1 .

Which is the slope of the line that passes through the points (−3,1) and (4,−2)? Slope = -3.

Answer: The slope is 2.

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

There are three steps in calculating the slope of a straight line when you are not given its equation.

1. Step One: Identify two points on the line.
2. Step Two: Select one to be (x1, y1) and the other to be (x2, y2).
3. Step Three: Use the slope equation to calculate slope.

We are given that a line passes through two points (−7,−8) and (0,4). ( 0 , 4 ) . So the slope of the given line is 127.

The slope between two points is calculated by finding the change in y-values and dividing by the change in x-values. For example, the slope between the points (7, -15) and (-8, 22) can be computed as follows: The difference in the y-values is -15-22 = -37.

The slope would be -2/2, or simplified, -1.

Slopes come in 4 different types: negative, positive, zero, and undefined. as x increases.

In our pizza example, a positive slope tells us that as the number of toppings we order (x) increases, the total cost of the pizza (y) also increases. For example, as the number of people that quit smoking (x) increases, the number of people contracting lung cancer (y) decreases.

A positive slope means that two variables are positively related—that is, when x increases, so does y, and when x decreases, y also decreases. Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises.

‘ When the ‘rise’ is zero, then the line is horizontal, or flat, and the slope of the line is zero. Put simply, a zero slope is perfectly flat in the horizontal direction. The equation of a line with zero slope will not have an x in it. It will look like ‘y = something.

A positive y-intercept means the line crosses the y-axis above the origin, while a negative y-intercept means that the line crosses below the origin.

The y-intercept is what y equals when x equals 0. The y-intercept can always be written as (0,y). If the y-intercept is 0, then that means the line passes through the point (0,0) which is also the origin. So, if the y-intercept is 0, then that means the line passes through the origin.

You can describe a straight line with the formula y = mx + b, where m is the slope and b is the y-intercept.

Standard form is another way to write slope-intercept form (as opposed to y=mx+b). It is written as Ax+By=C. You can also change slope-intercept form to standard form like this: Y=-3/2x+3. Next, you isolate the y-intercept(in this case it is 3) like this: Add 3/2x to each side of the equation to get this: 3/2x+y=3.

B-value: The b-value is the middle number, which is the number next to and multiplied by the x; a change in the value of b affects the parabola and the resulting graph.

Standard Form: the standard form of a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers. Discussion. The standard form of a line is just another way of writing the equation of a line.

ax + by = c, where a is not equal to zero and b is not equal to zero. The x intercept is found by setting y = 0 in the above equation and solve for x. Hence, the x intercept is at (c/a , 0). The y intercept is found by setting x = 0 in the above equation and solve for x.

The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it’s pretty easy to find both intercepts (x and y).

The y-intercept of the equation is c. When you want to graph a quadratic function you begin by making a table of values for some values of your function and then plot those values in a coordinate plane and draw a smooth curve through the points.