Question 1 of 15

Mathematics

1 answer:

Mrac [35]1 year ago

8 0

The function y = - 50x + 75 is linear. So, the correct option is (A).

<h3>Define linear function.</h3>

The formula for a linear function is f(x) = mx + b, where m and b are real values. Isn't it resembling the slope-intercept form of a line, represented by the equation y = mx + b? Yes, this is the case as the graph of a linear function is a line. Here,

The line has a slope of m and a y-intercept of b.

The independent variable is "x."

The dependent variable is "y" (also known as f(x)).

Consider the equation y = - 50x + 75

Compared to the linear function equation, we get

m = -50

b = 75

So, the function is a linear function with a constant change. The function will be linear at all points.

To know more about linear functions, visit:

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Which of these numbers is between 1 and 3/4 ?<br><br>PLEASE HELP

Elanso [62]

Since I don't see attachment, I guess the solution will be as follows:

1 & 3/4 , since 1 = 4/4, then it could be rewritten :

4/4 & 3/4, hence between these 2 fraction there is 2/4 or 1/2.

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2 years ago

Write an equation in slope-intercept form from the points (0, 3) and (-4,-1)

Bezzdna [24]

Answer:

y = x + 3

Step-by-step explanation:

Slope-intercept form is represented by the formula $y = mx + b$ . We can write an equation in point-slope form first, then convert it to that form.

1) First, find the slope of the line. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ and substitute the x and y values of the given points into it. Then, simplify to find the slope, or $m$ :

$m = \frac{(-1)-(3)}{(-4)-(0)} \\m = \frac{-1-3}{-4-0} \\m = \frac{-4}{-4} \\m = 1$

Thus, the slope of the line must be 1.

2) Now, since we know a point the line intersects and its slope, use the point-slope formula $y-y_1=m(x-x_1)$ and substitute values for $m$ , $x_1$ , and $y_1$ . From there, we can convert the equation into slope-intercept form.

Since $m$ represents the slope, substitute 1 in its place. Since $x_1$ and $y_1$ represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:

$y-3=1(x-0)\\y-3 = x\\y = x + 3$