Question

Rewrite the equation 6x + 7y = 14 into slope-intercept form (y = mx + b)

Answer 1

rearrange into the form y = mx + b

subtract 6x from both sides of the equation

7y = - 6x + 14

divide all terms by 7

y = - $\frac{6}{7}$ x + 2 → in slope- intercept form

Answer 2

Answer : The slope-intercept form of give equation is, $y=-\frac{6}{7}x+2$

Step-by-step explanation :

As we know that the slope-intercept form is:

y = mx + b

where,

m and b are the real numbers and y and x are intercepts.

m represent the slope of a line.

As we are given the expression of equation.

6x + 7y = 14

Now rearranging the equation according to the slope-intercept form, we get:

$7y=-6x+14$

$y=-\frac{6}{7}x+\frac{14}{7}$

$y=-\frac{6}{7}x+2$

Thus, the slope-intercept form of give equation is, $y=-\frac{6}{7}x+2$