Question

ch. 4 canvas quiz #1 this quiz is over our 4.3 notes from yesterday in class. it has 5 questions. you have 2 attempts on the quiz with a time limit of 1 hour. it will keep your best score. good luck!! 1 multiple choice 1 point write an equation in slope - intercept form for the line with a slope of \\(\frac{2}{3}\\) and a y - intercept of \\(-8\\). \\(\bigcirc\\) \\(y = \frac{2}{3}x - 8\\) \\(\bigcirc\\) \\(y = -8x + \frac{2}{3}\\) \\(\bigcirc\\) \\(y = 8x - \frac{2}{3}\\) \\(\bigcirc\\) \\(y = -\frac{2}{3}x + 8\\)

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is given by \(y = mx + b\), where \(m\) is the slope of the line and \(b\) is the \(y\) - intercept.

Step2: Substitute the given values

We are given that the slope \(m=\frac{2}{3}\) and the \(y\) - intercept \(b = - 8\).
Substituting \(m=\frac{2}{3}\) and \(b=-8\) into the equation \(y = mx + b\), we get \(y=\frac{2}{3}x+(-8)\), which simplifies to \(y=\frac{2}{3}x - 8\).

Answer:

A. \(y=\frac{2}{3}x - 8\)