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borishaifa [10]
2 years ago
6

What is the equation in slope intercept form?

Mathematics
1 answer:
patriot [66]2 years ago
8 0

Answer:

Step-by-step explanation:

The line has a slope of -1/3. For lines to be perpendicular there product must equal negative 1

m1(m2)=-1

-m/3=-1

m=3

So we know our line has a slope of three so

y=3x+b, we can solve for the y intercept, b, using point (-2,8)

8=3(-2)+b

8=-6+b

b=14, so our line is

y=3x+14

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Draw graphs of the following lines: The line through (-5, 2) having the slope of -3
Ivanshal [37]
What you want to do here is take this information and plug it into point-slope form. any time you're given a point and a slope, you generally want to plug it into this equation: y - y1 = m(x - x1).

in this equation, m is your slope and (x1, y1) is a given point. plug in your info--slope of -3 and (-5, 2).

y - 2 = -3(x + 5)

that is the equation of your line. however, if you want to graph it, this doesn't really make much sense to you. convert it to slope-intercept form, y = mx + b, by solving for y.

y - 2 = -3(x + 5) ... distribute -3
y - 2 = -3x - 15 ... add 2
y = -3x - 13 is your equation.

to graph this, and any other y = mx + b equation, you want to start with your y-intercept if it's present. your y intercept here is -13, which means the line you wasn't to graph crosses the y-axis at y = -13, or (0, -13). put a point there.

after you've plotted that point, you use your slope to graph more. remember that your slope is "rise over run"--you rise up/go down however many units, you run left/right however many units. if your slope is -3, you want to go down 3 units, then go to the right 1 unit. remember that whole numbers have a 1 beneath them as a fraction. -3/1 is your rise over 1.
6 0
3 years ago
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Lateral surface area of this gift box
azamat
I think it’s letter C
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3 years ago
An oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours. Which graph has a slope that best represent
pentagon [3]

Answer:

Graph G

Step-by-step explanation:

The graphs are attached

Given that the oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours, hence the rate at which the shaft drills = 7 meter / 2 hours = 3.5 meters per hour

Since the drill goes into the ground, hence the rate is negative that is -3.5 meters per secong

The slope (rate of change) of a line (m) is given by:

m=\frac{y_2-y_1}{x_2-x_1}

a) For graph F, the line passes through the point (0,0) and (10, -20). Hence:

Slope\ of\ line\ F=\frac{-20-0}{10-0} =-2\ meters\ per\ second

b) For graph G, the line passes through the point (0,0) and (10, -70). Hence:

Slope\ of\ line\ G=\frac{-70-0}{10-0} =-7\ meters\ per\ second

c) For graph H, the line passes through the point (0,0) and (10, -35). Hence:

Slope\ of\ line\ H=\frac{-35-0}{10-0} =-3.5\ meters\ per\ second

d) For graph J, the line passes through the point (0,-3.5) and (10, -3.5). Hence:

Slope\ of\ line\ j=\frac{-3.5-(-3.5)}{10-0} =0\ meters\ per\ second

8 0
2 years ago
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Find the slope and the y-intercept of the graph of y=11+1.5x.
Anni [7]
Honestly man i don’t know Im in 6th grade bro
6 0
2 years ago
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How do I solve 6a + 5a = −11
SashulF [63]

Answer:

a = - 1

Step-by-step explanation:

Step 1:

6a + 5a = - 11        Equation

Step 2:

11a = - 11         Combine Like Terms

Step 3:

a = - 11 ÷ 11       Divide

Answer:

a = - 1

Hope This Helps :)

5 0
2 years ago
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