Find the slope of 8x+4y=7 in parallel and perpendicular lines. Please help me figure this out?

Natalie, use the method I showed you in your previous post

slope of lines parallel to 8x + 4y = 7 = -8/7
slope of perpendicular lines = + 7/8

To find the slope of the line 8x + 4y = 7, we first need to write the equation in slope-intercept form (y = mx + b), where m is the slope.

Step 1: Rewrite the equation
8x + 4y = 7

Subtract 8x from both sides:
4y = -8x + 7

Step 2: Divide by 4
y = (-8/4)x + 7/4

Simplifying:
y = -2x + 7/4

The slope of the given line is -2.

To find the slope of a line parallel to this line, it would have the same slope of -2.

To find the slope of a line perpendicular to this line, we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other.

The negative reciprocal of -2 is 1/2. Therefore, a line perpendicular to the given line has a slope of 1/2.

To find the slope of a line given its equation, it is helpful to rewrite the equation in slope-intercept form, which has the form y = mx + b, where m represents the slope of the line.

Let's begin by rearranging the equation 8x + 4y = 7 to solve for y:

8x + 4y = 7
4y = -8x + 7
y = -2x + 7/4

Now we can identify the slope of the line: -2. Since we are looking for the slopes of parallel and perpendicular lines, we need to use the fact that parallel lines have the same slope, while perpendicular lines have slopes that are negative reciprocals.

1. Parallel Line: The slope of a parallel line is the same as the slope of the given line. Therefore, the slope of a line parallel to 8x + 4y = 7 is also -2.

2. Perpendicular Line: The slope of a perpendicular line is the negative reciprocal of the given line's slope. The negative reciprocal of -2 is positive 1/2. Thus, the slope of a line perpendicular to 8x + 4y = 7 is 1/2.

To summarize:
- The slope of a line parallel to 8x + 4y = 7 is -2.
- The slope of a line perpendicular to 8x + 4y = 7 is 1/2.

the formula for slope is rise over run.

slope=rise/run.

just substitute it to the given.
where rise is x and run is y.