Answer:
A) slope = 2, y-intercept = -6
B) slope = -4, y-intercept = 6
Step-by-step explanation:
A) y = 2x - 6
The equation for a line is y = mx + b, where <em>m</em> represents the slope, and <em>b</em> represents the y-intercept. So, to find the slope and y-intercept, all we have to do is look at the line's equation.
Here, the <em>m </em>is 2, so the slope is 2
The <em>b</em> is -6, so the y-intercept is -6
B) y = -4x + 6
Here, the <em>m</em> is -4, so the slope is -4
The <em>b </em>is 6, so the slope is 6
You would graph the equation y = 4x + 6 by plotting a point at the y-intercept of the line, which would be 6. Then, for every time you move one space to the right, you'd plot a point four spaces up to show the slope of four.
Answer:
y - 1 = -3(x - 2)
Step-by-step explanation:
As we move from the point (2, 1) to the point (5, -8), x (the run) increases by 3 and y (the rise) decreases by 9. Thus, the slope of this line is
m = rise / run = -9/3, or m = -3.
Then the equation of the line (in point-slope form) is
y - 1 = -3(x - 2)
<span>let length of painting = L
and width = W
from area = length times width
180 inch^2 = L times W
but L = 5/4 times W
180 inch^2 = 5/4 times W times W
W^2 = (4 x 180)/5
W = 12
but L = 5/4 x W
L = 5/4 x 12
L = 15
</span>
<span>Answer: The dimensions of the painting are </span><u>12 x 15 inches</u>.
Write an equation. To do this, make one integer equal to x, and the other equal to x+1. Set these equal to 149. Your equation should read x+(x+1)=149. Solve. To do this, add the two x's together. Your equation is now 2x+1=149. Get your x's alone. First, subtract 1 from both sides. Now the equation is 148=2x. Divide both sides by 2 to get x alone. You now have x=74. Plug this value back into the original equation to find your value for the other integer, and you have the two integers as 74 and 75. Hope this helps!
