No, (0-8) is the first point plotted on the graph but not (0,8).
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. We know that if 2 lines are parallel to one another, their slopes are exactly the same. So the slope of the new line is 5, just like the slope of the original line. We also have a coordinate in the form of (x, y) to fit into that line equation and solve it for b. Like this: -1 = 5(-6) + b and -1 = -30 + b and b = 29. Now we can rewrite the equation fitting in the given slope and the newly found y-intercept value of 29: y = 5x + 29 is the new line.
15 dollars from 1 sidewalk
140 dollars from ? sidewalks
140/15 =9.333(bar)
Dionte needs to shovel 10 sidewalks
9514 1404 393
Explanation:
Both sides of the equation are squared.
I like this better without fractions, so would multiply by 16 at this point (or earlier).
x^2 -40x +144 = 0
(x -36)(x -4) = 0
x = 4 or 36 . . . . . . x = 4 is extraneous
The solution is x = 36.
To find the common factors between two numbers, you must first break the numbers down into factors, and then find all common factors.
Let's break down 88.
88: 2 x 44, 4 x 22, 8 x 11.
Now let's break down 24.
24: 2 x 12, 3 x 8, 4 x 6.
Now that we've factored both numbers, let's select all the common factors.
Common factors:
1, 2, 4, 8.
I hope this helps!
