Chapter SH, Problem 3.7EP

To determine

To solve the equation $2y-4x=14$in slope intercept form.

Answer to Problem 3.7EP

Slope intercept form

  $y=2x+7$

Explanation of Solution

Given information:

The equation is $2y-4x=14$ .

Calculation:

  $2y-4x=14$

Slope intercept form: The graph of the equation $y=mx+b$ (where m and b are real numbers) is a line with slope, m, and y-intercept, b.This form of the equation of a line is called the slope-intercept form.

Formation of equation into slope intercept form

  $2y-4x=14$

so,

  $2y=4x+14$

Dividing equation by 2.

  $y=\frac{4}{2}x+\frac{14}{2}$

On simplification,

  $y=2x+7$

Slope, $m=2$

Y-intercept =7

Hence, the slope intercept form of the equation is $2y-4x=14$ .