Question

What are the intercepts of the equation -3x+4y=12?
a)(-4,0),(0,3)
b)(0,-4),(3,0)
c)(4,0),(0,-3)
d)(0,4),(-3,0)

Answer 1

Intercept with the y axis is the value of y when x=0. Therefore substitute 0 for x in the equation of the line and solve for y;-
4y=12
y=3
Intercept with the x axis is the value of x when y=0. Therefore substitute 0 for y in the equation of the line and solve for x;-
-3x=12
x=-4

intercepts are (0, 3) and (-4, 0)