A line passes through the point (-4, -8) and has a slope of 5/2 write an equation in slope intercept form for this line

Mathematics

1 answer:

Tju [1.3M]2 years ago

4 0

Answer:

y = 5x/2 + 2

Step-by-step explanation:

We know the equation for slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Since we have the coordinates of one point on this line and the slope, we can substitute that in and find b first:

y = mx + b

-8 = 5/2(-4) + b

-8 = -10 + b

b = 2

So we can use the slope and this y intercept we found to plug back into the equation:

y = mx + b

y = 5x/2 + 2

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Given the two functions:

$\begin{gathered} R(x)=2\sqrt[]{x} \\ S(x)=\sqrt[]{x} \end{gathered}$

We need to find (RoS)(4). THis is the functional composition. We take S(x) and put it into R(x) and then put "4" into that composed function. Shown below is the process: