Respuesta :
Answer:
Step-by-step explanation: The given equation is in standard form, so it must be converted to slope-intercept form: y = mx + b to discover the slope is –2/3. To be perpendicular the new slope must be 3/2 (opposite reciprocal of the old slope).
4x - y = 13 represents the line that passes through the point (3,-1) and is perpendicular to the graph of x+4y=10.
What is perpendicular equation?
A perpendicular line is a straight line through a point. It makes an angle of 90 degrees with a particular point through which the line passes.
Given
x + 4y = 10
∴ 4y = -x + 10
∴ y = [tex]\frac{-1}{4} x + \frac{5}{2}[/tex]
so y = 4x + b pass through the point (3, -1)
⇒ -1 = 4 × 3 + b
⇒ -1 = 12 + b
⇒ b = -1 - 12
⇒ b = -13
∴ y = 4x -13
4x - y = 13
Hence, 4x - y = 13 represents the line that passes through the point (3,-1) and is perpendicular to the graph of x+4y=10.
Find out more information perpendicular equation here
https://brainly.com/question/20268827
#SPJ2
