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2 years ago

Find the slope and y-intercept of the line through the pair of points L(-9,6),M(-1,9)

Mathematics

2 answers:

Paladinen [302]2 years ago

5 0

Answer:

The slope is 3/8

The y intercept is 75/8

Step-by-step explanation:

The slope is found by

m= (y2-y1)/(x2-x1)

= (9-6)/(-1- -9)

= (9-6)/(-1+9)

=3/8

The y intercept is found by

y = mx+b where m is the slope and b is the y intercept

y = 3/8 x+b

9 = 3/8(-1) +b

Getting a common denominator

72/8 = -3/8 +b

Add 3/8 to each side

75/8 = b

The y intercept is 75/8

FrozenT [24]2 years ago

3 0

Answer:

3/8, 9 3/8

Step-by-step explanation:

y= mx+b

m=(y2-y1)/(x2-x1)

L (-9, 6) and M(-1, 9)

slope is:

m= (9-6)/(-1+9)= 3/8

y- intercept is:

6=3/8*(-9)+b

b= 6+27/8= (48+27)/8= 75/8= 9 3/8

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The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation an

masha68 [24]

<span>Helena is correct in saying that the point-slope form will generate the equation. The point-slope form is written as:</span>

y-y₁ = m(x-x₁), where,

m = (y₂-y₁)/(x₂-x₁) is the slope of the line

(x₁,y₁) and (x₂,y₂) are the coordinates of the two points

On the other hand, the slope-intercept form is written as:

y = mx + b, where,

m is the slope of the line

b is the y-intercept

In this case, since only two points were given, the y-intercept of the line is not readily known. Thus, it is only through the point-slope form that the equation of the line can be determined. This is because it only requires the substitution of the x and y-coordinates of the points in the equation.

6 0

3 years ago

Read 2 more answers

Write an equation in slope - intercept form for the line that satisfies each set of conditions

ivanzaharov [21]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(1)

Rearrange 3x + 2y = 1 into this form by subtracting 3x from both sides