Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Graph a line that has a slope of -3 and contains the point (4,-2)

Sagot :

absor201

Answer:

The equation of the line is:

[tex]y = -3x+10[/tex]

The graph is attached below.

Step-by-step explanation:

Given that the line has a slope of -3, so

m = -3

As the point contains the point (4, -2), so we can use the point-slope form of the line equation to determine the line.

Point slope form:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

so substituting the values m = -3 and the point (4, -2)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - (-2) = -3(x-4)[/tex]

[tex]y+2 = -3x+12[/tex]

[tex]y = -3x+12-2[/tex]

[tex]y = -3x+10[/tex]

Therefore, the equation of the line is:

[tex]y = -3x+10[/tex]

The graph is attached below.

View image absor201
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.