An equation representing lyle’s hedge-trimming business is a = 12n - 300 where a is the amount of profit or loss in dollars and n is the number of hedges trimmed. how would the graph of lyle’s business change if the equation a = 10n - 300 represented his business? the graph would be flatter. the graph would be steeper. the graph would start closer to the origin. the graph would start lower on the y-axis.
2) -6x + 2y = 8; y = 3x;
because when u put the first equation in slope-intercept form the slope will be 3x. Notice parallel line are always the same slope.
3) perpendicular of -4x is 1/4x
y = 1/4x - 3
4. first u find the slope
slope is: -3/2
new find the slope-intercept form
by using the formula y-y1 = m (x - x1)
y = -3/2x + 5
y = 4x + 5
The general equation of a line is y = mx + d ,
m = slope
d indicates the y-intercept, when x=0 , Y=5 => (0,5)
In the given line m = 3 , so that is the slope.
This slope has an angle = arctan(3) = 71.56º
If we need a steeper line, we have to increase m,
By example y = 4x + 5 , would have the same y-intercept but would be steeper.
This new line has a greater slope, with an angle = arctan (4) = 75.96º
i have no clue but will take the points
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0)
You need to find "m" and "b"
1.) For lines to be perpendicular, their slopes have to be the opposite/negative reciprocal (flipped sign and number)
slope is 2
perpendicular line's slope is -1/2
slope is -2/3
perpendicular line's slope is 3/2
The given line's slope is -4, so the perpendicular line's slope is 1/4.
y = 1/4x + b
To find "b", you can plug in the point (4, -2) into the equation
y = 1/4x + b
-2 = 1/4(4) + b
-2 = 1 + b
-3 = b
2.) To find "m", use the slope formula and plug in the two points:
y = -3/2x + b
Plug in one of the points to find "b"
y = -3/2x + b
-1 = -3/2(4) + b
-1 = -6 + b
5 = b
3.) y-intercept: 5 (since the given equation's y-intercept is 5)
I'm confused with what they mean by "steep", so I'll try to update this later unless someone else has an answer
So I looked it up, and it says that a steep slope is a line that is more vertical [if that makes sense]. So you could do a slope of +3 (more than 3, like 4, 5, 6...) because the given line's slope is 3, and you need a new line that is more steeper(vertical)
The graph would become steeper.
This is because the rise is greater. 2x describes rising by 2 units and running (right) by 1. If the slope is increased, then so is the "steepness". The slope would then be rising 4 unit and running (right) 1.
y = 4x+5
the coefficient of x makes the line steeper when it is increased and the number after the x (5) is the y intercept.
Take the absolute value of 3 and -7
7 is the larger number so y=-7x+4 has a steeper slope.