Please Help Me?

Question

Please help me I beg you. Im really bad at algebra so please help. Please teach me.

Write an equation of a line with the given slope and y-intercept
1. m=0, b=1

Write an equation of a line through the given point with the given slope.
2. (6,7); m= undefined

Thank you so much for all your help.

Answer 1

equation is y = mx + b so the equation of m=0 and b=1 is:

y = 0x + 1
or
y = 1
so the slope is basically horizontal

m always = rise/run

so an equation of a line that goes through (6,7) could be

y = 0x + 7
or
y = 7

Answer 2

1. In this one you are given the y-intercept, so you can write the equation in slope-intercept form. The general form is:
y = mx + b, where m is the slope and b is the y-intercept.
Since you are given both m and b, you just plug in and get:
y = 0x + 1, or just y = 1
In cases where the slope is a number other than 0, you would end up with y = mx + b. However you can recognize that with a slope of 0, the line is horizontal, and so y is always a certain number; in this case, 1.

2. In this one you are given the slope and a certain point, so you should use the point-slope form of an equation. The general form is: y - Y = m(x - X), where m is the slope, Y is the y coordinate of the point given on the line, and X is the x coordinate of the point given.
Now you can plug in the values given:
y - 7 = (undefined)(x - 6)
If the slope were any other value, you could just leave it like this. However, the slope being undefined means that the line is just a vertical line that goes through (6,7). A vertical line is always on a certain value of x, regardless of what y is. So the equation of your line is x = 6.

Answer 3

the general equation for a line is Y=mX+b. (X) and (Y) are points on the line. (m) is the slope of the line. (b) is the intercept or the y value of which the line passes the y axis.

1) so for for this question, simply plug in the values given into the above equation. this gives: y=1

2) again plug in values into the above equation. (6,7) means a point on the line is x=6 and y=7.
m is the slope. if it it undefined, it means the line is vertical.
therfore the equation becomes x=6 because it passes through the point x=6, y=7

hope this helps.

Answer 4

If a line has slope of zero, it is a horizontal line. It hits the y axis but not the x axis. All the points on it have the same y-coordinate, so find out what it is and let it = y. It's given that the y-intercept is 1, so now you know the equation: y = 1

2. Here the slope is undefined so it's a vertical line. They only hit the x-axis, and all the points on them have the same x-coordinate. So find out what it is and let it = x. It goes through (6,7) which has an x-coordinate of 6, so now you know the equation: x = 6

Answer 5

Listen to the man! Remembering these m=0 (horizontal, ZERO growth), m=undefined (vertical, can't determine the growth) will help with everything else!

I hate to tell you this, but slope/y-intercept will come back MANY MANY more times! It pops up everywhere!

Answer 6

1.)
y = 0(x) + 1
y = 1

2.)
x = 6