Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Determine the slope-intercept equation of a line with a slope of 3/2 that passes through (2, -1).

Sagot :

Hrishii

Answer:

[tex] \orange{ \bold{y = \frac{3}{2}x -4 }}[/tex]

Step-by-step explanation:

Slope of line (m) = [tex] \frac{3}{2} [/tex]

Line passes through the points [tex] (2,\:-1)=(x_1, \:y_1)[/tex]

Equation of line in point slope form is given as:

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

Plug the values of m, [tex] x_1\: \&\: y_1[/tex] in the above equation, we find:

[tex]y - ( - 1) = \frac{3}{2} (x - 2) \\ \\ y + 1 = \frac{3}{2}x - \frac{3}{2} \times 2 \\ \\ y + 1 = \frac{3}{2}x -3 \\ \\ y = \frac{3}{2}x -3 - 1 \\ \\ \purple{ \bold{y = \frac{3}{2}x -4 }}\\ \\ [/tex]

This is the required equation of line in slope-intercept form.

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.