Question

Put the following equation of a line into slope-intercept form, simplifying all fractions:

6x+4y=8.
a)y=−3/2 x+2
b)y=−3/2 x-2
c) y=−3/4x+2
d) y=−3/4x−2

Answer 1

To put the equation of a line into slope-intercept form, subtract 6x from both sides of the equation 6x + 4y = 8 and then divide both sides by 4 to get y = -3/2 x + 2.

Step-by-step explanation:

To put the equation of a line into slope-intercept form, we need to solve for y. The slope-intercept form is y = mx + b, where m represents the slope and b represents the y-intercept.

Given the equation 6x + 4y = 8, we can write it in slope-intercept form:

First, subtract 6x from both sides: 4y = -6x + 8

Then, divide both sides by 4: y = (-6/4)x + 2

Simplifying the fraction, we get y = -3/2 x + 2.