Answered

Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Write an equation in point-slope form of the line that passes though the given points. Then, write the equation in slope intercept form.

(-1,-2) and (2,4)

Sagot :

absor201

Answer:

Please check the explanation.

Step-by-step explanation:

Given the points

  • (-1, -2)
  • (2, 4)

Finding the slope between (-1, -2) and (2, 4)

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

[tex]\left(x_1,\:y_1\right)=\left(-1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(2,\:4\right)[/tex]

[tex]m=\frac{4-\left(-2\right)}{2-\left(-1\right)}[/tex]

[tex]m=2[/tex]

Using the 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

substituting the values m = 2 and the point (-1, -2)

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

[tex]y -(-2) = 2(x-(-1)[/tex]

Thus, the point-slope form of the line equation is

[tex]y -(-2) = 2(x-(-1)[/tex]

now, write the slope-intercept form of the line equation y = mx+b

[tex]y-\left(-2\right)=2\left(x-\left(-1\right)\right)[/tex]

[tex]y+2=2\left(x+1\right)[/tex]

subtract 2 from both sides

[tex]y+2-2=2\left(x+1\right)-2[/tex]

Simplify

[tex]y=2x+0[/tex]

[tex]y = 2x[/tex]

Therefore, the equation in slope-intercept form is:

  • [tex]y = 2x[/tex]
We hope this was helpful. Please come back whenever you need more information or answers to your queries. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.