Answered

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What is an equation of the line that passes through the point (1,7) and is parallel to
the line 3x - y = 1?

Sagot :

reinhard10158

Step-by-step explanation:

3x - y = 1

y = 3x - 1

the slope of a line function is always the factor of x.

in our case : 3

it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.

in our case (3 = 3/1) y increases by 3 for every x increase by 1.

now, the parallel slope is simply the same as for the original line.

so, the line function looks like

y = 3x + b

b is the y-intercept, and we get it by using the coordinates of the point as x and y

7 = 3×1 + b = 3 + b

b = 7 - 3 = 4

the full line equation is

y = 3x + 4

Answer:

Step-by-step explanation:

3x - y = 1

y = 3x - 1

the slope of a line function is always the factor of x.

in our case : 3

it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.

in our case (3 = 3/1) y increases by 3 for every x increase by 1.

now, the parallel slope is simply the same as for the original line.

so, the line function looks like

y = 3x + b

b is the y-intercept, and we get it by using the coordinates of the point as x and y

7 = 3×1 + b = 3 + b

b = 7 - 3 = 4

the full line equation is

y = 3x + 4

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