Answer:
What does x-intercept and y-intercept mean?
X-intercept is when the line crosses the x-axis, which means y = 0.
Likewise, y-intercept is when the line crosses the y-axis, which means x = 0.
Substitute those values into the equation and solve for x and then solve for y.
Solve for x: 3x - 5(0) = 10
Solve for y: 3(0) - 5y = 10
In order to find your slope, you need to get your equation in this form:
y = mx + b
Through some basic algebra, you'll get ![y = \frac{3}{5} x - 2](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B3%7D%7B5%7D%20x%20-%202)
The number in the m position is your slope; m = ![\frac{3}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D)
The slope of a perpendicular line is opposite and reciprocal,
so
becomes
. Therefore, the perpendicular line is represented by the equation
![y = -\frac{5}{3}x + b](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B5%7D%7B3%7Dx%20%2B%20b)
Once you are given a point that this perpendicular line runs through, then you can substitute the (x, y) values into this equation and find
(y-intercept).
Step-by-step explanation: