Question

Find the slope of the line y = 5/8x - 1/2

Answer 1

slope =
`(5)/(8)`

Explanation:

Slope-intercept form is the way in which an equation is written to easily identify the line's slope and y-intercept. It is represented by the equation y = mx + b, in which m represents the slope.

By looking at the equation, we can see that it takes the y = mx + b format - y is isolated - therefore it is in slope-intercept form. Remember that the number in place of the m would represent the slope - and in this case, that number is
`(5)/(8)`.

Answer 2

`\sf{Slope = (5)/(8)}\\\sf{Y-intercept: -(1)/(2)}`

In-depth explanation:

The question is asking us to find the slope of the line, whose equation is;

`\leadsto\quad\bf{y=(5)/(8)x-(1)/(2)}`

The format of this equation is:
`\boldsymbol{\sf{y=mx+b}}`. This is known as slope-intercept; it's the most common way of writing the equation of a line.

In y = mx + b, the variable "m" denotes the slope, or the rate of change, of a line; b denotes the y-intercept, or the point where the line intercepts the y-axis.

Also, the slope is the number before x, while b is the constant term.

Similarly, the slope is 5/8 and the y-intercept is -1/2.

`\rule{350}{2}`