Question

Graph the equation on the coordinate plane. y=x-3 Select two points on the line to graph the line.​

Answer 1

The slope of a line is used to determine its steepness of a line.

What is the standard form of an equation?

One way of expressing linear equations is in their standard form. There are several ways to express a linear equation, including the standard form, the slope-intercept form, and the point-slope form. The general form of a linear equation, commonly referred to as the standard form, is written as Y = MX + C; A linear equation or one-degree equation is one in which the maximum power of the variable is 1. For instance, the equation 4x + y = 6 is linear since the maximum power of both x and y is 1. The equation in its standard form is written as Ax + By = C, where A, B, and C are all integers and x and y are the variables.

The standard formula for finding the equation of a line is expressed as:

y = mx + b

m is the slope

b is the y-intercept

Given the equation:

y = x -3;

The slope of the graph will be 1 with no y-intercept.

The slope of a line is used to determine its steepness of a line.

So, substituting the value of x as 0;

So, The value of y will be -3;

That is: (x,y) = (0,-3);

Now, substituting x =1;

So, The value of y will be: -2;

That is: (x,y) = (1,-2);

Hence,

The slope of a line is used to determine its steepness of a line.

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