Questions: Express the following equation in slope-intercept form: 17x - 10y = 80 Select the best answer from the choices provided. A. y = -(17/10)x + 26 B. y = (10/17)x + -5.3 C. y = (17/10)x + -8 D. y = -(10/17)x + 25.3

Express the following equation in slope-intercept form: 17x - 10y = 80
Select the best answer from the choices provided.
A. y = -(17/10)x + 26
B. y = (10/17)x + -5.3
C. y = (17/10)x + -8
D. y = -(10/17)x + 25.3

Transcript text: Express the following equation in slope-intercept form: $17 x-10 y=80$ Select the best answer from the choices provided. A. $y=-\frac{17}{10} x+26$ B. $y=\frac{10}{17} x+-5.3$ C. $y=\frac{17}{10} x+-8$ D. $y=-\frac{10}{17} x+25.3$

Solution

Solution Steps

To express the given equation in slope-intercept form (y = mx + b), we need to solve for y in terms of x. This involves isolating y on one side of the equation.

Step 1: Start with the Given Equation

We start with the given equation: \[ 17x - 10y = 80 \]

Step 2: Isolate $ y $

To express the equation in slope-intercept form ($ y = mx + b $), we need to isolate $ y $. We do this by solving for $ y $ in terms of $ x $: \[ 17x - 10y = 80 \] \[ -10y = -17x + 80 \] \[ y = \frac{17}{10}x - 8 \]

Step 3: Identify the Slope and Intercept

From the equation $ y = \frac{17}{10}x - 8 $, we can identify the slope $ m $ and the y-intercept $ b $: \[ m = \frac{17}{10} \] \[ b = -8 \]