Question

for the function rule y= -2x -3, provide the x-y coordinates of the y-intercept and the x-intercept. show your work

Answer 1

y-intercept means put zero for x and x-intercept means put zero for y so y -intercept gonna be :
y = -2(0) -3 ⇒ y = 0-3 =-3 so y-intercept is -3 or (0 , -3 )
x-intercept gonna be :
0 = -2x -3 ⇒ 3 = -2x ⇒ -3/2 = x ⇒ x = -1.5 so x-intercept is -1.5 or ( -1.5 , 0 ) :)))
i hope this be helpful

Answer 2

y = -2x - 3

-- The y-intercept is the point where the graph crosses
the y-axis. But x=0 everywhere on the y-axis, so

y = -2(0) - 3

y = - 3 .

-- The x-intercept is the point where the graph crosses
the x-axis. But y=0 everywhere on the x-axis, so

0 = -2x - 3

Add 2x to each side: 2x = -3

Divide each side by 2: x = -3/2 .