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densk [106]
3 years ago
15

A line includes the points (0,0) and (1,5). What is its equation in slope-intercept form

Mathematics
1 answer:
Kipish [7]3 years ago
5 0

9514 1404 393

Answer:

  y = 5x

Step-by-step explanation:

The point (0, 0) tells you the line goes through the origin, so represents a proportional relationship. The slope is simply the ratio of y to x, or 5/1 = 5.

The equation of the line is ...

  y = mx + b . . . . . . line with slope m and y-intercept b

  y = 5x . . . . . . . . . . line with slope 5 and y-intercept of 0 (the origin)

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A ladder is leaning against the side of a building and positioned such that the base of the ladder is 17 ft from the base of the
andrezito [222]

Answer:

The ladder is 28.6 feet long.

Step-by-step explanation:

Given that:

Length of base = 17 feet

Length above the ground = 23 feet

These forms two legs of right angled triangle.

The length of ladder will be the hypotenuse.

Using Pythagorean theorem;

a^2+b^2=c^2\\(17)^2 + (23)^2 = c^2 \\289 + 529 = c^2 \\c^2 = 818

Taking square root on both sides

\sqrt{c^2}=\sqrt{818}\\c=28.6

Hence,

The ladder is 28.6 feet long.

5 0
3 years ago
Please help i dont understand thank you
Alenkasestr [34]

Answer:

Part a)

We need to find the equation of a straight line passing through two given points in slope-intercept form

Part b)

The information given; we are given two points where the line passes through; (0, -4) and (-2, 2)

Part c)

We shall first determine the slope of the line using the formula;

change in y/change in x. Next, we determine the value of the y-intercept using the general form of the equation of a straight line in slope-intercept form; y = mx+c

Part d)

The slope of the line is calculated as;

(2--4)/(-2-0) =6/-2 = -3

The equation of the line in slope-intercept form becomes;

y = -3x +c

We use the point (0, -4) to determine the value of c;

-4 = -3(0)+c

c = -4

Part e)

Final solution thus becomes;

y=-3x-4

8 0
3 years ago
Remove the parentheses. -3(4y-v-2)
adell [148]
-3 times 4y - v -2 hope this helps !
6 0
3 years ago
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