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Zielflug [23.3K]
3 years ago
15

Write an equation in slope-intercept form of the line with slope 4 and a point at (0, -3)*

Mathematics
1 answer:
bogdanovich [222]3 years ago
3 0
Y=4x-3
Follow this equation y=mx+b (m=slope, b= point given)
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A car that travels along the highway to Denver at a steady speed. When it begins, it is 300 miles from Denver. After 3 hours, it
umka21 [38]

Answer: y=-40x+300

Step-by-step explanation:

This car follows a line, hence its motion can be modeled by the Line equation.

In fact, we already have two points of the line, if we call x the time in hours and y the traveled distance in miles:

Point 1: (x_{1},y_{1})=(0,300)

Since we are told the car's initial position is 300 miles in the time 0 h

Point 2: (x_{2},y_{2})=(3,180)

Since we are told the car's final position is 180 miles after 3h

<u />

<u>Let's find the Slope m: </u>

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=-40  This is the slope of the line

Now, the equation of the line is:

y=mx+b

We already know the slope, now we have to find the intersection point with the y-axis (b) with any of the given points. Let's choose Point 1: (x_{1},y_{1})=(0,300)

300=-40(0)+b

Isolating b:

b=-300

Then, the equation of the line is:

y=-40 x+300

7 0
3 years ago
Read 2 more answers
-2x-4 = 12<br> --------<br> 3<br><br> btw thats a fraction and 3 is the denominator
lys-0071 [83]
-2x - 4 = 12
add 4 to both sides of the equation
-2x = 16
divide -2 from both sides of the equation
x = -8

the new fraction: 8/3 or 2 2/3
4 0
3 years ago
An artist wants to frame a square painting with an area of 400 square inches. She wants to know the length of the wood trim that
Maurinko [17]
Area=legnth times width

if legnth=x
and
area=400

400=x times width

wait
SQUARE painting
legnth=width
width=x

400=x times x
400=x^2
sqrt both sides
20=x
answer is 20 in

equation is
400=x times x
5 0
3 years ago
Can anybody help????
pychu [463]

Answer:

x = 110° (vertically opposite angel)

6 0
3 years ago
A farmer intends to plant pine trees 12 feet apart to form a windscreen for her crops. How many trees should she buy if the leng
Zolol [24]
You can fit 67 crops with a gap of 12 feet between each one.
804/12=67
3 0
3 years ago
Read 2 more answers
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