Question

Indicate in standard form the equation of the line passing through the given point and having the given slope.

C(0, 4), m = 0

Answer 1

if the gradient is zero its a horizontal line that is parallel to the x axis

so there wouldn't be a constant or an x or gradient shown for that matter
therefore
y=4

Answer 2

Eq of line in slope point form is given as:

\[y-y_1= m(x-x_1)\]
\[y-4= 0(x-0)\rightarrow y-4= 0 \rightarrow y=4 \]
Hence y=4 is the standard form the equation of the line.

@caitlin_lynette_munoz

Answer 3

thanks

Answer 4

what about Indicate in standard form the equation of the line passing through the given points.

E(-2, 2), F(5, 1)

Answer 5

well, then you'd have to find the gradient first, which is rise/run or y1-y2/x1-x2
so 2-1/(-2)-5=-1/7

then substitute in one of the points into the formula equation:
y=mx+c
y=-1/7x+c
1=-1/7(5) +c
c=12/7

you've got your constant, and your gradient, now fill in the equation:
_=_ _ +/- _

Answer 6

gradient means slope

Answer 7

so would it be y=(-1/7)x+(12/7)

Answer 8

yes