Write an equation parallel to y = 3x + 6 that passes through the point (4,7).Remember to type the" - "if a number is negative, such as-2.y =X +

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03-11-2022
Mathematics

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Write an equation parallel to y = 3x + 6 that passes through the point (4,7).Remember to type the" - "if a number is negative, such as-2.y =X +

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YazlynT285169 YazlynT285169 · Answer 1 · 2022-11-03T15:23:01+01:00

The equation that is parallel to y = 3x + 6 has the same slope as y, namely 3; therefore, we already know that the equation we are seeking has the form

[tex]y=3x+b[/tex]

Now we just need to solve for the y-intercept b, and to do that we use the point (4, 7 ). Putting x = 4 and y = 7 into the above equation gives

[tex]7=3(4)+b[/tex][tex]7=12+b[/tex][tex]\therefore b=-5[/tex]

Hence, the equation that is parallel to y = 3x + 6 that passes through the point (4,7) is

[tex]y=3x-5[/tex]