I really need help i am so stuck i can not figure this out we are trying to find the slopes here is an example of what i am doing
i get everything all theway till a certain point
example: (-4,9);2x=5y+6
the answer is 2/5x+53/5 but i don't know how they came up with 53 that is where I am getting stuckwhat are they doing to come up with that
Trudy, based on the answer you gave;
you want to find the Eq of a line that
passes through the given point with a
slope = to the given Eq.
Given: (-4 , 9) ,2X = 5Y + 6.
2X - 5Y = 6, Slope = -A / B = -2 /-5
2 / 5
Y = mX + B
Plug in the gtven point to find b:
9 = 2 / 5(-4) + b
solve for b:
b = 9 + 8 / 5, 9 = 45 / 5, therefore
b = 45 / 5 + 8 / 5 = 53 / 5.
Eq: Y = 2/5X + 53 / 5
how did you come up with b=9+8/5,9=45/5
you lost me there help i have five to do like this and i really am trying to under stand it
9 = 2/5 (-4) + b
9 = -8/5 + b
add 8/5 to each side of Eq
8/5 + 9 = 8/5 - 8/5 + b
8/5 +9 = b
To add 8/5 and 9 , they should have
a common denominator which is 5.
8/5 +45/5 = b
53/5 = b, or b = 53/5
Trudy, you are having problems
with solving basic Eq and fractions.
To find the slope of a linear equation in the form of "ax + by = c", you need to represent the equation in slope-intercept form, which is "y = mx + b" (where "m" is the slope and "b" is the y-intercept).
Let's go step by step to find the slope of the given equation:
1. Start with the equation: 2x = 5y + 6
2. To get it in the "y = mx + b" form, isolate the "y" term by subtracting 6 from both sides: 2x - 6 = 5y
3. Next, divide the entire equation by 5 to simplify and isolate "y": (2x - 6)/5 = y
4. Simplify the equation further: (2/5)x - 6/5 = y
Now we have the equation in slope-intercept form: y = (2/5)x - 6/5
Therefore, the slope of the equation is 2/5.
Now, you mentioned that the answer is given as "2/5x + 53/5." To understand where this answer comes from, let's check if it's mathematically equivalent to the slope-intercept form we derived.
If we rewrite "2/5x" as "(2/5)x" and "53/5" as "53/5," the answer can be expressed as (2/5)x + 53/5.
It seems there might be a misunderstanding or error in the answer you provided, as there is no apparent rationale for the value of 53/5. The slope of the equation should be only 2/5.
Make sure to double-check your calculations or consult with your instructor to clarify the correct answer.