Question

Find the slope, x-intercept, and y-intercept for the line 9 x + 10 y + 16 = 0 I found y to be -1.6, the slope to be -.9 and x to be wither 0/9 or -16 but it said i got x wrong

Answer 1

here is a nice way to find the x and y intercepts if the equation is written in the general form such as 9x + 10y + 16 = 0

move the constant to the right side :
9x + 10y = - 16

now for the x-intercept, let y = 0
Put your pencil or your pinkie finger over the y term to block it out
you should now see 9x = -10
and in your head you should be able to get x = -10/9 or

do the same thing for the y-intercept to get y = -16/10 = -1.6 (which yougot)

Also for Ax + By + C = 0 the slope is -A/B
so in our case the slope = -9/10

the long way of course is to change it to the form y = mx + b

9x + 10y + 16 = 0
10y = -9x - 16
y = (-9/10)x - 16/10
so m = -9/10