Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Explore in-depth answers to your questions from a knowledgeable community of experts across different fields. Get quick and reliable solutions to your questions from a community of experienced experts 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]
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.