Question

4. Given the line 7x + 6y = 5, do the following.

a. Write in slope-intercept form (y = mx + b).
b. What is the slope of this line?
m
=
What is the slope of lines parallel to the given line?

Answer 1

a- Slope-intercept form (y =
`(-7 x)/(6\\)` +
`(5)/(6)`) ::=> 1

b- Slope of Line = m =
`(-7)/(6)` : From Equation 1

Explanation:

a- We have following equation:

7x + 6y = 5

Here if we re-arrange for y:

6y = 5 -7x :: Compare it with y = mx + b

y =
`(-7 x)/(6\\)` +
`(5)/(6)`

b-Compare y = mx + b and y =
`(-7 x)/(6\\)` +
`(5)/(6)`

m= -7/6 and Slope of lines parallel to the given line is shown in the equation