496,044 views
39 votes
39 votes
describe and correct the error solution error a student made when graphing a linear equation y equals -3 / 4 x - 6

describe and correct the error solution error a student made when graphing a linear-example-1
User Notyce
by
2.9k points

1 Answer

8 votes
8 votes

we have two points (0, 6) and (4, 3)

this can be represented as (x, y)

the equation of a straight line is

y = mx + c

slope = m = y2 - y1/ x2 - x1

x1 = 0, y1 = 6, x2 = 4 and y2 = 3

slope = 3 - 6 / 4 - 0

slope = -3/4

slope = -3/4

from the equation of a straight line

(y - y1) = m(x - x1)

y1 = 6 and x1 = 0

y - 6= -3/4(x - 0)

y - 6 = -3/4x + 0

y = -3/4x + 6

the error he made was that he used - 6 instead of +6 in the final answer

User Ashish Modi
by
3.1k points