college algebra problems 2

Mathematics
Tutor: None Selected Time limit: 1 Day

find the equation of the line , with y intercept 0,7, and slope 4/3

also need the equation of the line with m=7, containing (1,7)

please include all work

Jan 12th, 2015

 equation of the line , with y intercept 0,7, and slope 4/3

First

Equation of the line with y-intercept = c = 0   and slope = m = 4/3

then using the formula

y = mx + c

y = 4/3 x + 0

y = 4/3 x

Now for y-intercept = c = 7 , then

y = mx + c

y = 4/3 x + 7

3y = 4x + 21

4x - 3y + 21 = 0

And thirdly,

equation of the line with m=7, containing (1,7)

m = 7,    (1,7)

Now we use the formula which is 

y - y1 = m(x - x1)

Now putting the values, we get

y - 7 = 7(x - 1)

Solving

y - 7 = 7x - 7

7x - y + 7 - 7 = 0

7x - y = 0

Or

7x = y

y = 7x

Jan 12th, 2015

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