Find the equations of line in y = mx + b form...

a) Passes through the points (7, 9) and (2, -2)

Skip to content# Find the equations of line in y = mx + b form…a) Passes through the points (7, 9) and (2, -2)

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Find the equations of line in y = mx + b form...

a) Passes through the points (7, 9) and (2, -2)

[tex]y = - 0.5x + 5.5[/tex]

Step-by-step explanation:

finding the slope

[tex]\frac{3 - 1}{5 - 15} = - \frac{1}{2}[/tex]

m is the slope

[tex]- 0.5x + b = y[/tex]

we can get y from any point but that goes for x,too

[tex]- 0.5(5) + b = 3 \\ b = 2.5 + 3 \\ b = 5.5[/tex]

the equation is

[tex]y = -0.5x + 5.5[/tex]

y = 11/5x - 32/5

Step-by-step explanation:

y2 - y1 / x2 - x1

-2 - 9 / 2 - 7

-11 / -5

= 11/5

y = 11/5x + b

-2 = 11/5(2) + b

-2 = 22/5 + b

-32/5 = b

$450.00 for 6 weeks

or

$300

step-by-step explanation:

$200.00 for first week $50.00 x5 equals $250 plus $200 equals $450.00 for six weeks.

$200 for first week

$200 x 0.10 = $20

$20 x 5 = $100

$200 + $100 = $300

y = 4x - 7

Step-by-step explanation:

Finding the slope:

[tex]\frac{13+15}{5+2}=\frac{28}{7}=\boxed{4}[/tex]

The slope is 4.

Finding the y-intercept:

[tex]y=4x+b\\\\13=4(5)+b\\\\13=20+b\\\\13-20=20-20+b\\\\\boxed{-7=b}[/tex]

The equation is [tex]y=4x-7[/tex].

Hope this helps.

goog may have it for you

[tex]Match each transformation or sequence of transformations to an equivalent transformation or sequence[/tex]