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 [tex]y = \frac{3}{5} x - 2[/tex]
The number in the m position is your slope; m = [tex]\frac{3}{5}[/tex]
The slope of a perpendicular line is opposite and reciprocal,
so [tex]\frac{3}{5}[/tex] becomes [tex]-\frac{5}{3}[/tex]. Therefore, the perpendicular line is represented by the equation
[tex]y = -\frac{5}{3}x + b[/tex]
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 [tex]b[/tex] (y-intercept).
Step-by-step explanation:
