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2 years ago

Determine the equation of the line passing through the point (0, -4), with a slope of m = 5

Mathematics

1 answer:

Vinvika [58]2 years ago

6 0

The equation of the line is:

y + 4 = 5(x - 0) [point-slope form]

y = 5x - 4 [slope-intercept form]

<h3>How to Find the Equation of a Line?</h3>

Using the point-slope form, the equation of a line that has a slope of m, and passes through a point (a, b), can be written as: y - b = m(x - a).

Given the following:

Slope (m) = 5

Point on the line (a, b) = (0, -4)

Substitute m = 5 and (a, b) = (0, -4) into y - b = m(x - a)

y - (-4) = 5(x - 0)

y + 4 = 5(x - 0)

Or rewrite in slope-intercept form as:

y + 4 = 5x

y = 5x - 4

Learn more about the equation of a line on:

brainly.com/question/13763238

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Solve the system of equations:

Molodets [167]

The answer is D.

Y=2x Y=x(2)-3

2=2(1) 2=3(2)-3

2=2 2=6-3

2=2

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3 years ago

Write an equation for your trend line?

Soloha48 [4]

Find two points on the graph that the line crosses through almost perfectly. It looks like (1,10) and (9,1) will do.

Use them to compute the slope:
m = (1 - 10) / (9 - 1)
= -9/8

Then set up the "point-slope form":
y - y0 = m * (x - x0)

You choose some point (x0, y0) that the line crosses through. We already know the line passes through (1,10) pretty well, so let's use that.

x0 = 1
y0 = 10

Now finish plugging into the equation:
y - 10 = -9/8 * (x - 1)

The above equation will work fine for an answer, but let's go a step further and solve for y.

y - 10 = -9/8x + 9/8
y = -9/8x + 9/8 + 10
y = -9/8x + 9/8 + 80/8
y = -9/8x + (9 + 80)/8
y = -9/8x + 89/8

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3 years ago

Will give brainliest to whoever answers first and correct

aliina [53]

Answer:

A is f(t)=-(t-4)^2+50

B is 50. the top of the graph is at 50

C is at 4. that is the x value when y=50

If you need the graph put the answer from question A into Desmos

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2 years ago

The median of a set of consecutive odd integers is 138. If the greatest integer in the set is 145, what is the least integer in

garri49 [273]

Answer:

131

Step-by-step explanation:

Given that:

Median of a consecutive odd integers = 138

Greatest integer In dataset = 145

Least integer in dataset =

Since the integers are consecutive ;

Number of integers to greatest integer value : Greatest integer - median value = 145 - 138 = 7

Hence, 7 integers before the median value should give us the least integer value ;

138 - 7 = 131

CHECK:

131,132,133,134,135,136,137,138,139,140,141,142,143,144,145

Median = (n+1)/2 th term

Median = (15+1)/2 = 8th term = 138

Highest = 145

Least = 131

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3 years ago

Simplify.... <br><br><br><br> -5(8x+3)

Brut [27]

Answer:

-40x-15

You multiply using the distributive property.... Hope it helped :)

7 0

3 years ago

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