Question

Point: (3, 4)
Slope: -1
In slope intercept form

Answer 1

y = -x + 7 is your correct answer

Explanation:

Answer 2

y = -x + 7

Explanation:

Slope-intercept form can give us valuable information about a graph.

Point-Slope Form

There are multiple ways to solve this problem; I am simply showing the way I use most often.

We can plug the known information into point-slope form and then simplify the equation into slope-intercept form. Point-slope is written as:

• y - y₁ = m(x - x₁)

In this equation, y₁ and x₁ are the y and x values we are given and m is the slope. So, plug in the information.

• y - 4 = -1(x - 3)

Then, simplify the right side by distributing the -1.

• y - 4 = -x + 3

Next, add 4 to both sides.

• y = -x + 7

The equation in slope-intercept form is y = -x + 7.

Slope-intercept Form

Slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept. So, our equation, y = -x + 7, shows that the slope is -1 and the y-intercept is 7. Using this information, we can compare the line to other linear functions or graph the line if needed.