Algebra A Unit 7 Quiz 23-24 DUE 10/30/24

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Question
Which slope-intercept form equation is equivalent to the point-slope equation y−4=23(3x+6)
?
Responses

y=2x+8
y is equal to 2 x plus 8

y=29x+8
y is equal to 2 ninths x plus 8

y=3x−4
y is equal to 3 x minus 4

y=23x+10
y is equal to 2 thirds x plus 10

The slope-intercept form of the equation is y = mx + b, where m is the slope and b is the y-intercept.

To find the equivalent slope-intercept form equation, we can start by rearranging the point-slope equation:

y − 4 = 23(3x + 6)

y − 4 = 69x + 138

Next, we can isolate y by adding 4 to both sides:

y = 69x + 142

Therefore, the equivalent slope-intercept form equation is y = 69x + 142.