Given that 7x - 3y = 23

1 answer:

7 0

7x - 3(-2) = 23
7x - - 6 = 23 (two minuses make a plus)
so it’s gonna be 7x + 6 = 23
Now you have isolate you x, so move everything else to the other side, but remember to change your sign when transferring to the other side

7x = 23 - 6
7x = 17
To isolate x in this multiple, you divide by 7 (because the inverse of multiplication is division)
x = 17/7

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What is an equation of the line that passes through the points (-4, -5) and (-8, -2)?

nikklg [1K]

Solution:

Step-1: Find the slope of the line.

Formula of slope: y₂ - y₁/x₂ - x₁

y₂ - y₁/x₂ - x₁ = Slope
=> -2 - (-5)/-8 - (-4) = Slope
=> -2 + 5/-8 + 4 = Slope
=> 3/-4 = Slope

Step-2: Use the point slope formula to determine the slope.

Point slope form formula: y - y₁ = m(x - x₁)

y - y₁ = m(x - x₁) = Equation of line
=> y - (-5) = -3/4{x - (-4)} = Equation of line
=> y + 5 = -3/4{x + 4} = Equation of line
=> y + 5 = -3x/4 - 3 = Equation of line
=> y = -3x/4 - 8 = Equation of line

The equation of the line is y = -3x/4 - 8.

7 0

2 years ago

Read 2 more answers

A cellular family phone plan cost $49 per minute plus five cents per minute of long distance service. Write an equation for the

miskamm [114]

The equation for monthly payment is b = 49.05M.

SOLUTION:

Given, a cellular family phone plan cost $49 per minute plus five cents per minute of long distance service. We have to write an equation for the monthly payment b when M minutes of long distance service are used.

Now, given that,

$\begin{array}{l}{\text { Monthly payment = } \$ 49 \text { per minute plus five cents per minute of long distance }} \\\\ {\Rightarrow \$ 49 \times \text { number of minutes }+\$ 0.05 \times \text { number of minutes of long distance }} \\\\ {\Rightarrow \mathrm{b}=49 \times \mathrm{M}+0.05 \times \mathrm{M} \rightarrow \mathrm{b}=49 \mathrm{M}+0.05 \mathrm{M} \rightarrow \mathrm{b}=49.05 \mathrm{M}}\end{array}$