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Setler [38]
3 years ago
12

Write equation for the line in slope intercept form (6,4) and (3,8)

Mathematics
1 answer:
nikdorinn [45]3 years ago
5 0

Answer: y = - 4x/3 + 12

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = y intercept

m represents the slope of the line.

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

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (6, 4) and (3, 8),

y2 = 8

y1 = 4

x2 = 3

x1 = 6

Slope,m = (8 - 4)/(3 - 6) = 4/- 3 = - 4/3

To determine the y intercept, we would substitute x = 3, y = 8 and m= - 4/3 into y = mx + c. It becomes

8 = - 4/3 × 3 + c

8 = - 4 + c

c = 8 + 4

c = 12

The equation becomes

y = - 4x/3 + 12

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The answer is below

Step-by-step explanation:

Two triangles are said to be congruent if for the two triangles all the three sides are equal and all the three angles are equal to each other.

Given that ΔPQR is congruent to ΔSTU, hence all corresponding sides and corresponding angles are equal to each other.

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