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grandymaker [24]
3 years ago
5

Write the equation of a line, in slope intercept form, that has a slope of 1 and passes through the point (2, 4).

Mathematics
2 answers:
nikitadnepr [17]3 years ago
6 0

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

We have the slope m=1\to y=1x+b=x+b

and point (2, 4). Substitute:

4=2+b      <em>subtract 2 from both sides</em>

2=b\to b=2

Answer: y=x+2

Illusion [34]3 years ago
4 0

Start with the simplest equation of a straight line:  y = mx + b.

Subst. 1 for m, 2 for x and 4 for y.  Then, 4 = 1(2) + b, or b = 2.

In slope-intercept form, the equation of this line is y = x + 2.

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3 years ago
Whats the answer for 6b+7-2b=1+5b
Alecsey [184]

Solution,6b+7-2b=1+5b\quad :\quad b=6

Steps:

6b+7-2b=1+5b

\mathrm{Group\:like\:terms}, 6b-2b+7=1+5b

\mathrm{Add\:similar\:elements:}\:6b-2b=4b, 4b+7=1+5b

\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}, 4b+7-7=1+5b-7

\mathrm{Simplify}, 4b=5b-6

\mathrm{Subtract\:}5b\mathrm{\:from\:both\:sides}, 4b-5b=5b-6-5b

\mathrm{Simplify}, -b=-6

\mathrm{Divide\:both\:sides\:by\:}-1, \frac{-b}{-1}=\frac{-6}{-1}

\mathrm{Simplify}, b=6

\mathrm{The\:Correct\:Answer\:is\:b=6}

\mathrm{Hope\:This\:Helps!!!}

\mathrm{-Austint1414}

3 0
3 years ago
Read 2 more answers
Deepak wrote out the steps to his solution of the equation startfraction 5 over 2 minus 3 x minus 5 plus 4 x equals negative sta
andre [41]

The solution is x=3/4

How can we solve given equation?

First, we will solve like terms. Then shift constant to other side and keep x on the same side to get the value of x.

We can solve given equation as shown below:

5/2-3x-5+4x=-7/4

(5-10)/2+x=-7/4

-5/2+x=-7/4

x=5/2-7/4

x= (10-7)/4

x=3/4

Hence, the solution is x=3/4.

Learn more about Linear equations here:

brainly.com/question/43297

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4 0
1 year ago
What are the y-intercept and the slope of the line represented in the graph?
sineoko [7]
Answer:

B

Explanation:

The y intercept can be read directly off of the graph, and is where the line intersects the y of the graph.

The slope (gradient) can be determined by using the equation y=mx+c, where we can substitute in the y intercept and an x and y value on the line.

y=mx+4

(2;0) is a point on the line, it is the coordinates of the x intercept (y intercept will work as well)

0=m(2)+4
m=-2
6 0
3 years ago
Read 2 more answers
Find the value of x in each case. Give reasons to justify your solutions!
levacccp [35]

Answer:

x=13 degrees

Step-by-step explanation:

First, think of the remote interior angle theorem. So basically the remote interior angles that don't share a vertex with the exterior angle is the sum of the exterior angle. So that means ∠EBC+∠BEC=∠ECD. ∠ECD=64 degrees+90 degrees=154 degrees. ∠EBC is equal to 180 degrees minus 3x because line AD is a line so ∠ABE and ∠EBC are supplementary angles so basically they add up to 180 degrees. So the equation is (180-3x)+x=154. Simplify the equation and you should get x=13 degrees:)

7 0
3 years ago
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