What is the reflection of -3,3 over the y axis

Mathematics

1 answer:

andrey2020 [161]3 years ago

4 0

Answer:

3,-3 on x axis

Step-by-step explanation:

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What do -4 (x+7)-4 equal

Dima020 [189]

Answer:

-4x-32 Can i please get a brainliest because this correct.

Step-by-step explanation:

−4(x+7)−4

Distribute:

=(−4)(x)+(−4)(7)+−4

=−4x+−28+−4

Combine Like Terms:

=−4x+−28+−4

=(−4x)+(−28+−4)

=−4x+−32

Answer:

=−4x−32

5 0

3 years ago

A line includes the points (4,1) and (8, 2). What is its equation in slope-intercept form?

Alisiya [41]

Answer:

$y = \frac{1}{4} x$

Step-by-step explanation:

1) First, find the slope of the equation. Use the slope formula $m= \frac{y_2-y_1}{x_2-x_1}$ . Substitute the x and y values of the given points into the formula and solve:

$m = \frac{(2)-(1)}{(8)-(4)} \\m = \frac{2-1}{8-4}\\m = \frac{1}{4}$

Thus, the slope is $\frac{1}{4}$ .

2) Now, use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation in point-slope form (from there we can convert it to slope-intercept). Substitute values for $m$ , $x_1$ , and $y_1$ .

Since $m$ represents the slope, substitute $\frac{1}{4}$ for it. Since $x_1$ and $y_1$ represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, the end result will be the same) and substitute its x and y values into the formula as well. (I chose (4,1), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the answer.

$y-(1) = \frac{1}{4} (x-4)\\y-1 = \frac{1}{4} x-1\\y = \frac{1}{4} x+0\\y=\frac{1}{4}x$