# Math

posted by .

I have two different questions.

what is the set built notation of -11x-24<27-10x

and

write the slope intercept equation for the line with slope -5/6 and y intercept (0,4)

• Math -

-11x-24<27-10x
-11x + 10x < 27 + 24
-x < 51
x > -51

I will let you put into the notation you are familiar with

second one:
since you are given the slope and the y-intercept, the equation can be simply stated as

y = (-5/6)x + 4

• Math -

-11x-24 < 27-10x
combine similar terms:
-11x + 10x < 27 + 24
*when transposing terms to other side of equation, the sign must become the opposite*
then,
-x < 51
multiply by -1 to get positive x:
x > -51
*note that when all terms are multiplied or divided by a NEGATIVE number, the inequality sign becomes the opposite*
thus x is all real number greater than -51 or (-51, +infinity)

for the second question,
slope-intercept form is:
y = mx + b
where b is the y-intercept (y-coordinate of the y-intercept) and m is the slope,, thus:
y = (-5/6)x + 4

hope this helps. :)

## Similar Questions

1. ### algebra[please check]

in questions 1 and 2, write an equation of the line in slope-intercept form. 1. the slope is -4/3; the y-intercept is -2. 2. the slope is 0; the y-intercept is -5. my answers: 1.y=-4/3-2 2. y=-5 ______________________ write an equation …
2. ### math

i have more than one question so if u no any of the answers please tell me 1.) write the point-slope form of the equation of the line with slope -2 passing through the point ( -5, -9). 2.) write the point-slope form of an equation …
3. ### Math

For the equation y = -6x, what is the slope and y intercept?
4. ### Math

For the equation y = -6x, what is the slope and y intercept?
5. ### algebra

Could someone please check my work. what is the slope of the line that passes through the given points?
6. ### Quick math help

My math exam is coming up Friday and I need help!! Can you please guide me throgh the processes on the three questions?
7. ### Algebra

I have an assignment that asks me to write an equation in slope-intercept, point-slope, or standard form for the information given and to explain why the chosen form would be best. Below is the information given. 1. passing through …
8. ### Algebra 2

Can someone help me with this equation please?
9. ### ALGEBRA

Solve for y intercepts 7x+y=-2 Answer: Y = -2 7x + 2y = 4 Answer: Y = 2 -------------- If (3,-5) is a point on the graph for the equation in the form y=mx+7, then m=?
10. ### Algebra

Write the equation in slope-intercept form. What are the slop and y-intercept?

More Similar Questions