Question

Write the equation in slope-intercept form of the line that has a slope of 5 and y-intercept of -3.@Savannah_Noelle

Answer 1

Slope-intercept form...is written as

\[y = mx + b\]

'm' stands for the slope
and
'b' stands for the y-intercept

So since you were given both slope and the y-intercept...what would the equation look like?

Answer 2

idk

Answer 3

So you have....slope of line = 5
y-intercept of line = -3

When applying that to the equation posted above where 'm' is where you put the slope....and 'b' is where you put the y-intercept

you would have

y = (slope)x + (y-intercept)

plug in the numbers you were given

Answer 4

i dont know how to do it just try this one for me

Answer 5

y=5x+-3 right or wrong

Answer 6

after substituting in the values you were given...into that equation...you'll have

\[y = 5x - 3\]

Answer 7

You were correct......but it seems to be a pain putting + -3....that can just be written as -3

so

y = 5x - 3

Answer 8

Write the equation in slope-intercept form of the line that has a slope of 3 and contains the point (4, 9).

Answer 9

so this one is slightly different...but same equation

y = mx + b

Now, you have a 'y' value, an 'x' value, and a slope 'm' value...plugging all those in we get

9 = 3(4) + b

We need to solve for b here.

can you see how to solve for 'b'?

Answer 10

no

Answer 11

So when we simplify that

9 = 3(4) + b

3 times 4 is 12 so

9 = 12 + b

we can subtract 12 from both sides to isolate 'b' on the right side so

-3 = b

Now we have 'b'

To get the equation of the line you want...again, all you use is the slope 'm' (3)...and the y-intercept 'b' (-3) that we have just found

y = (slope)x + (y-intercept)

plug in the numbers

Answer 12

y=3x-3

Answer 13

there you go!

Answer 14

and for this one

Write the equation in slope-intercept form of the line that has a slope of -3 and contains the point (1, 1).

Answer 15

Same exact thing that we just did with the previous question...can you follow those steps I did above and figure this one out? Same process, different values

Answer 16

its hard though

Answer 17

i dont know if this is correct or not y=2x+1

Answer 18

That's okay, so we'll go through it again

you have a slope 'm' (-3)
and a y-value 'y' (1)
and an x-value 'x' (1)

So plugging all those into that same equation

y = mx + b

you get

1 = -3(1) + b

now we simplify that...-3 times 1 is -3 so

1 = -3 + b

add 3 to both sides to isolate 'b' and you get

4 = b

remember 'b' is your y-intercept

so

now you have a slope 'm' (-3) and a y-intercept 'b' (4)

so your equation will be

y = (slope)x + (y-intercept)

your equation is?

Answer 19

Write the equation in slope-intercept form of the line that has a slope of 2 and contains the point (1, 1).