6 + x = 20
- 6 - 6
x = 14
14 plus six gives you 20.
1+1= 2
Big brain >:3 Ty for the points tho ^^
Because it has a slope of 5, we can already set up part of the equation:
y = 5x
Now, we need to find the y-intercept.
We can do that by subtracting 1 from the x value of the provided coordinate pair, and subtracting 5 from 9.
1 - 1 = 0
9 - 5 = 4
The y-intercept is 4.
<h3><u>Our equation is y = 5x + 4</u></h3>
Such an equation would be y + 8x = - 25 (standard form) OR y = -8x - 25 (y-intercept form)
Deriving The Answer:
By using the point-slope form of the equation of a line, by knowing the gradient of that line and a point on that line, the equation of this line can be derived.
Now, the point-slope form exists as y - y₁ = m ( x - x₁)
since slope = -8 and the point on the line = (-4 , 7)
Then m = - 8
x₁ = - 4
y₁ = 7
⇒ y - 7 = -8 ( x - (-4))
⇒ y - 7 = -8x - 32
⇒ y + 8x = - 25
