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lesya [120]
2 years ago
7

can someone help me with this I have to do like 18 other questions so if you can help me with those I would appreciate it!

Mathematics
1 answer:
GenaCL600 [577]2 years ago
4 0

Answer:

see below

Step-by-step explanation:

1.)

(0, 4)

(1, 7)

\frac{7-4}{1-0} = 3

y = 3x + b

(4) = 3(0) + b

b = 4

y = 3x + 4

Rate of change: 3       initial value: 4

2.)

(0, -5)

(1, -3)

\frac{-3-(-5)}{1-0} = 2

y = 2x + b

(-5) = 2(0) + b

b = -5

Rate of change: 2        initial value: -5

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A picture frame is 5 inches on 2 sides and x inches on the other 2. If its perimeter is 50 inches, how long is each of the other
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A line passes through the points (0, 9) and (9, 19). What is its equation in slope-intercept form?
STatiana [176]

Answer:

y = 10/9x + 9

Step-by-step explanation:

To write the equation in its slope-intercept form, y = mx + b, we need to find the slope (m) of the line and its y-intercept (b).

Given the points (0, 9) and (9, 19), we can solve for the slope of the line using the following formula:

m = \frac{y2 - y1}{x2 - x1}

Let (x1, y1) = (0, 9)

and (x2, y2) = (9, 19)

Substitute these values on the formula:

m = \frac{y2 - y1}{x2 - x1} = \frac{19 - 9}{9 - 0} = \frac{10}{9}

Therefore, the slope (<em>m </em>) = 10/9.

Next, the <u>y-intercept</u> is the point on the graph where it crosses the y-axis, and has the coordinates, (0, <em>b </em>). It is also the value of the y when x = 0.

One of the given points is the y-intercept of the line, given by (0, 9). The y-coordinate, 9, is the value of b.

Therefore, the linear equation in slope-intercept form is: y = 10/9x + 9

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Step-by-step explanation:

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