Question

write the equation of a line thats has a slope of -3 and passes through (4,5)

Answer 1

y=-3x+5

Answer 2

show work please
and i have more

Answer 3

You have the slope and a point. Do you know the setup for point-slope form of a line?

Answer 4

yes

Answer 5

So we have:
\( y - y_1 = m(x - x_1) \)
The point we are given is set in place of \((x_1, y_2)\) and the slope is set in place of m.
Makes sense?

Answer 6

The point (4, 5) is not a y-intercept.

Answer 7

yes but what then?

Answer 8

\(y - y_1 = m(x - x_1) \)
\(y - 5 = -3 (x - 4) \)
Technically, the question gives no goal about what form to leave it in. This would actually be sufficient as the equation describing the line.

Answer 9

5 is the y-value of the point (4, 5)
But the point, (4, 5), is not on the y-axis. That is what we refer to by the y-intercept, is the intersection of the line and the y-axis.

Answer 10

OH

Answer 11

i have another

Answer 12

Go ahead. :)