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Elza [17]
3 years ago
15

The slope intercept form of the equation of a line that passes through (-2,13) is y =5x-3what is the point slope form of the equ

ation for this line

Mathematics
1 answer:
Zigmanuir [339]3 years ago
6 0

Answer:

y - 13 = 5(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Given y = 5x - 3 in  slope- intercept form

with slope m = 5, then

m = 5 and (a, b) = (- 2, 13)

y - 13 = 5(x - (- 2)), that is

y - 13 = 5(x + 2) ← in point- slope form

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lawyer [7]

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6 0
3 years ago
7. Which of the following can be determined from the graph below?
tatyana61 [14]

Answer:

The ordered pair (6,25) is a solution to both

y=-\frac{5}{2}x+40  and  y=\frac{5}{3}x+15

Step-by-step explanation:

Part 7)

<em>step 1</em>

Find the equation of the line with positive slope

take the points (0,15) and (9,30)

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the given values

m=\frac{30-15}{9-0}

m=\frac{15}{9}

simplify

m=\frac{5}{3}

Find the equation of the line in slope intercept form

y=mx+b

we have

m=\frac{5}{3}

b=15

substitute

y=\frac{5}{3}x+15

<em>step 2</em>

Find the equation of the line with negative slope

take the points (0,40) and (8,20)

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the given values

m=\frac{20-40}{8-0}

m=-\frac{20}{8}

simplify

m=-\frac{5}{2}

Find the equation of the line in slope intercept form

y=mx+b

we have

m=-\frac{5}{2}

b=40

substitute

y=-\frac{5}{2}x+40

step 3

Find the solution of the system

we know that

The solution of the system of equations is the intersection point both graphs

The intersection point is (6,25) ----> see the graph

therefore

The ordered pair (6,25) is a solution to both y=-\frac{5}{2}x+40  and  

y=\frac{5}{3}x+15

7 0
4 years ago
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lianna [129]
14 books in 3 months is 35%
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14- 35%
x- 100%
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Greetings,
n00nst00p :)
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3 years ago
Tim has an encyclopedia in 5 volumesA–C, D–F, G–J, K–N, and O–Z. Other than alphabetically (ascending or descending), how many w
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Step-by-step explanation:

ar of quadilateral

=16×7×7×20

=12080cmsq

4 0
4 years ago
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