Question

Y = - 7/6x + 1 Use the slope-intercept form to find the slope and y-intercept.

Answer 1

`\dotfill`

Answer & Step-by-step Explanation

We're given the following equation to work with.

`-\!\!\!-\!\!\!-\!\!\!\! > \qquad\boldsymbol{\sf{y=-\cfrac{7}{6}x+1}}`

We need to find the slope and the y-intercept.

The slope is the number in front of x, and the y-intercept is the constant term.

Therefore,

`\bf{Answers=\begin{cases}\sf{Slope: -7/6}\\\sf{y-intercept:1}\end{cases}}`

◈ ⋆ ◈ ⋆ ◈ ⋆ ◈ ⋆

Note: This way of finding the slope only works for slope-intercept form. Slope-intercept is
`\sf{y=mx+b}` where m is the slope and b is the y-intercept.

◈ ⋆ ◈ ⋆ ◈ ⋆ ◈ ⋆

`\frak{-dream-}`

Answer 2

slope = -
`(7)/(6)` , y- intercept = 1

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given the line with equation

y = -
`(7)/(6)` x + 1 ← in slope- intercept form

with slope m = -
`(7)/(6)` and y- intercept c = 1