Question

give the slope and y-intercept of the line whose equation is given. then graph the linear function.
( y = -5x + 7 )

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. the slope is (square).
(simplify your answer. type an integer or a fraction.)

b. the slope is undefined.

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. the y-intercept is (square).
(simplify your answer. type an integer or a fraction.)

b. there is no y-intercept.

use the graphing tool to graph the equation.

Explanation:

Step1: Recall slope-intercept form

The slope - intercept form of a linear equation is \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\)-intercept.

Step2: Identify slope from the equation

For the equation \(y=-5x + 7\), comparing it with \(y = mx + b\), we can see that \(m=-5\). So the slope is \(-5\).

Step3: Identify y - intercept from the equation

For the equation \(y=-5x + 7\), comparing it with \(y = mx + b\), we can see that \(b = 7\). So the \(y\)-intercept is \(7\).

For the slope:

Answer:

A. The slope is \(-5\).

For the y - intercept: