Mathematics: Need quick. 1. write the standard form of the line that contains a slope of 1/2 and y -intercept of 3. include your work in your final answer. 2. write the standard form of the line that passes through the given points. (-1, -3) and (2, 1)

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Need quick. 1. write the standard form of the

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nihadsalim10

15.03.2022

Mathematics

Hello there,

1. The standard form of a straight line with a slope and a y-intercept is as follows:

y=mx+b , where is the slope and is the y-intercept.

In this case, we have a slope of $\frac{1}{2}$ and a y-intercept of 3. Plugging in $\frac{1}{2}$ for and 3 for gives us:

$y=\frac{1}{2}x+3$

2. We are given two points. With these two points, we can find the slope with the formula for the slope to be:

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$

We can use the points and the corresponding values to solve for the slope:

$m=\frac{1-(-3)}{2-(-1)}=\frac{4}{3}$

We can plug into our equation:

$y=\frac{4}{3}x+b$

To find b, we simply plug in one of our points into this equation, and solve. I will use (2, 1) since both values are positive, but feel free to use (-1, -3) if you'd like:

$1=\frac{4}{3}(2)+b$

$1=\frac{8}{3}+b$

$-\frac{5}{3}=b$

Now plug into the equation.

$y=\frac{4}{3}x-\frac{5}{3}$

Hope this helps! :^)

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Need quick.
1. write the standard form of the line that contains a slope of 1/2 and y -intercept of 3. include your work in your final answer.
2. write the standard form of the line that passes through the given points.
(-1, -3) and (2, 1)

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