Question

Find the y-intercept and slope of the line.

Y = -x + 5

Answer 1

Step-by-step explanation

Our task is to find the slope and y-intercept of the following line:

`\dashrightarrow\quad\bf{y=-x+5}`

The first thing to notice is that this equation is given to us in the format of:

`\boldsymbol{y=mx+b}`. This format is known as slope-intercept. In slope-intercept, "m" is the slope and "b" is the y-intercept.

There's an easy way to find both the slope and the y-intercept; to find the slope, we take a look at the number in front of x; for the y-intercept, we look at the constant term.

For this line,
`\textsf{\textbf{y = -x + 5}}`, the slope is -1 and the y-intercept is 5.

Answer 2

Slope = -1; y-intercept = 5

Explanation:

The equation y = -x + 5 is in the slope-intercept form of a line, whose general equation is given by:

y = mx + b, where

• m is the slope,
• and b is the y-intercept.

Determining the slope:

• When you have something like y = x or y = -x, the slope is 1 or -1.
• The number is usually not written when the slope is 1 likely because after students learn the slope-intercept form, it's something teachers, textbooks, etc. want us to remember.

Thus, the slope is -1.

Determining the y-intercept:

Also, the y-intercept is 5.