Answer:
(6,14)
Step-by-step explanation:
See below for a plot of the equation.
The y intercept is the y location where x=0 and can be found by solving 6y=180, which is y=30.
Likewise, the x intercept follows from y=0, so 4x=180 => x=45.
The interpretation of the intercepts is: what is the plan if you go for all small tables (ie., y=0) or all big tables (x=0). The answer is: you can rent either 30 small tables or 45 big ones.
All the other points on the line represent some mix of small and big tables (of course, x and y must be integer because you can't rent half tables).
a. Equation in slope-intercept form of a line parallel to y = 2/5x +1 will be: y = 2/5x + 5
b. Equation in slope-intercept form of a line perpendicular to y = 2/5x +1 will be: y = -5/2x + 1
c. Equation in slope-intercept form of a line that is neither parallel nor perpendicular to y = 2/5x +1 will be: y = 3x + 1
<h3>Slope-intercept Equation of Parallel and Perpendicular Lines</h3>
- Slope-intercept equation, where b is the y-intercept and b m is the slope is represented as y = mx + b.
- Equations of parallel lines have the same slope.
- Equations of perpendicular lines will have slope that are negative reciprocal of each other.
- If two lines are neither parallel nor perpendicular, their equation will have different slopes, and the slope of one is not the negative reciprocal of each other.
Therefore:
a. Equation in slope-intercept form of a line parallel to y = 2/5x +1 will be: y = 2/5x + 5
b. Equation in slope-intercept form of a line perpendicular to y = 2/5x +1 will be: y = -5/2x + 1
c. Equation in slope-intercept form of a line that is neither parallel nor perpendicular to y = 2/5x +1 will be: y = 3x + 1
Learn more about slope-intercept form on:
brainly.com/question/25826868
82944 cubic centimetres do u need an explanation?
