Find an equation of the line described below. Write the equation in​ slope-intercept form​ (solved for​ y), when possible. Through (-6,7)​, parallel to the ​-axis

Question

What is the equation of the​ line?

Answer 1

y=7

if you meant parallel to the x axis, which is probably what you meant, when you said the answer should be in the form y=something

in more explicit slope intercept form:

y = (0)x + 7 where 0 is the slope and 7 is the y intercept

which is the same as y=0+7 or y=7

IF by chance you actually meant parallel to the y axis

then the line is x=-6

that really doesn't convert to a slope intercept form

but if you tried to you'd get

(0)y =x +6

then divide by 0 which is not allowed, to get

y =(1/0)x + 6/0 with slope =1/0 which is undefined and y intercept = 6/0 which is also undefined

IF you tried to say slope = infinity, that might be true, but it could also be negative infinity. Same with the y intercept. Infinity and negative infinity are not real numbers, just limits which are never reached