Question

How to write the slope intercept equation for points of (6,0) and (0,-5)?

Answer 1

Answer:

$y=\frac{5}{6} x -5$

Step-by-step explanation:

Hi there!

We are given the points (6,0) and (0, -5), and we want to write the equation of the line containing those points in slope-intercept form

Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept

First, we need to find the slope of the line

The formula for the slope can be written as $\frac{y_2-y_1}{x_2-x_1}$, where $(x_1, y_1)$ and $(x_2, y_2)$ are points

We have everything we need to find the slope, but let's label the points to avoid confusion

$x_1=6\\y_1=0\\x_2=0\\y_2=-5$

Now substitute these values into the formula

m=$\frac{y_2-y_1}{x_2-x_1}$

m=$\frac{-5-0}{0-6}$

Subtract

m=$\frac{-5}{-6}$

Simplify

m=$\frac{5}{6}$

The slope of the line is 5/6

Let's plug this value into the formula for the equation of the line in slope-intercept form.

We substitute 5/6 for m in y=mx+b:
y=$\frac{5}{6}x+b$

Now we need to find b

As stated before, b is the y intercept, which is the value where the line hits the y axis. The value of x at the y intercept is 0.

One of the points we were given is actually the y intercept; that point is (0, -5); notice how the value of x in this point is 0

The value of b is the value of y in this point, which is -5 in this case.

Substitute -5 as b in the formula.

$y=\frac{5}{6} x -5$

Hope this helps!

See more on this subject here (n.b. the answer uses a different way of solving): brainly.com/question/20891204