Answer:
53
Step-by-step explanation:
401 - 30= 371
371 / 7 = 53
4+(−7) is 7 units from 4, in the negative direction (that is, to the left of 4)
Answer:
y=-2+4
Step-by-step explanation:
we know the y intercept is four, so we can plug that into y=mx+b
so far we know y=mx+4
and the equation for finding slope is 
so let's find two points on the graph
let's make it easy on ourselves and use the points laid out for us
(0,4) and (2,0)
solving that would come out to be 
simplified, that would be -2
now that we know the slope, we can put them into slope-intercept form
y=-2+4
Answer:
216 US dollars
Step-by-step explanation:
Let the amount he earned for babysitting be x
He spent 1/4 of x on guitar=(1/4)×x=1/4x
He gave 1/4 of x to charity= (1/4)×x=1/4x
Equation 1
Total amount left=(Total amount earned -Total amount spent)
Total amount earned=x
Total amount spent=(Spent on Guitar+Spent on Charity)=(1/4x)+(1/4x)=1/2x=0.5x
Total amount left=108 US dollars
Substituting in equation 1
108=(x-0,5x)
Solving
0.5x/0.5=108/0.5
x=216 US dollars
He started with 216 US dollars
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
