Respuesta :

amysun2025

Answer:

The slope is [tex]-\frac{1}{5}[/tex]

Step-by-step explanation:

Hi there!

We are given the following two points:
(6,0) and (-4, 2)
We want to find the slope of the line between these two points

The formula to calculate the slope (m) between 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything we need to find the slope, but let's label the values of the points so we don't get confused when calculating the slope

[tex]x_1=6\\y_1=0\\x_2=-4\\y_2=2[/tex]

Now substitute these values into the formula to calculate the slope

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{2-0}{-4-6}[/tex]

Subtract

m=[tex]\frac{2}{-10}[/tex]

Simplify the fraction

m=[tex]-\frac{1}{5}[/tex]

The slope is [tex]-\frac{1}{5}[/tex]

Hope this helps!

See more on finding the slope from 2 points here: https://brainly.com/question/26738734

We need to find the slope between two points (6,0) and (-4,2) . But , let's Recall the slope formula that we have ,the slope between any two points let they be [tex]{\bf{(x_1 , y_1)}}[/tex] and [tex]{\bf{x_2 , y_2)}}[/tex] is denoted by m and is given by :

  • [tex]{\boxed{\bf{m=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}}}[/tex]

Now , applying the same concept in our question :

[tex]{:\implies \quad \sf m=\dfrac{2-0}{-4-6}}[/tex]

[tex]{:\implies \quad \sf m=-\dfrac{2}{10}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Slope=-\dfrac15}}}[/tex]

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