Question

Indicate the equation of the given line in standard form.
The line through (2, -1) and parallel to a line with slope of

Answer 1

please complete the sentence. parallel to a line with slope of........

Answer 2

sorry it's 3/4

Answer 3

O.K then we know that the line for which we are to develop the standard form equation is parallel so it too will have an equal slope of 3/4

Answer 4

You can use the equation for slope. m=(y-y1)/(x-x1). plug in 3/4 for m.

3/4=(y-(-1))/(x-2) that works out to be: 3x-6=4y+4 placing in standard form:
3x-4y-10=0

Answer 5

do you think you could also help me with this one?

Indicate in standard form the equation of the line passing through the given points.
G(4, 6), H(1, 5)

Answer 6

Yes, you can use the same formula: m=(y1-y2)/(x1-x2) this time m is unknown but the two points are known. Thus m=(6-5)/(4-1)=1/3 Now use the formula with the new found value of m and use just one point I would use G.

1/3=(y-6)/(x-4) this becomes: x-4=3y-18 placing in standard form
x-3y+14=0