Answer:
y = (2/3)x + 4 2/3
Step-by-step explanation:
For reference, a linear function has an equation of y = mx + b
The first thing we're going to do is use the slope formula,
or rise over run. In this case that looks like:
(-2-4) - (8 - -1)
-2 -4 comes out to - 6, and the denominator comes out to 9.
6/9 is equal to 2/3, which is our m or slope value.
Next we want to find the b value, or our y-intercept. To do that we'll plug one of the points into the equation with our new-found slope:
4 = (2/3)-1 +b
4 = -2/3 + b
4 2/3 = b
That means our complete equation is:
y = (2/3)x + 4 2/3
OR
y = (2/3)x + 14/3 (equivalent but an improper fraction rather than a mixed fraction).
The distance between both lines is 2.24 units
Step-by-step explanation:
There is no straight method to find the distance between two lines. The distance can be found out by finding a point on one line and then finding the distance of that point from the other line. The y-coordinate of point is obtained by putting any value of x in equation . The x and y combined give us the point.
Given

We have to find the distance of this point from y=2x+5

The formula for finding distance of a point (x,y) from a line is:

A=2
B=-1
C=5
Putting the values in the formula

Rounding off will give: 2.24 units
The distance between both lines is 2.24 units
Keywords: Equations of lines
Learn more about distance in lines at:
#LearnwithBrainly
Answer:
D
Step-by-step explanation:
Factors B, C and E are totally irrelevant.
The slope is m= 5/9 sorry if you weren’t looking for the slope
You subtract the % that the sale is and take it away from 100%. You get 75% then take the original price and divide it by .75