Question

Write an equation in slope-intercept form for a line that passes through the two points (-2, 7) and (-4, -3). Show your work.

Answer 1

slope-intercept form : y = mx +c

now m = gradient
and c = y-intercept

Answer 2

so @res2712 , do u know how to find gradient from 2 points?

Answer 3

No I don't
.

Answer 4

ok, so gradient (m) is rise / run
\[\large m = \frac {y_2 - y_1}{x_2 - x_1}\]

Answer 5

so u have 2 points:
\[\large (-2, 7)~ and~ (-4, -3)\] which are:\[\large (x_1, y_1)~ and~ (x_2, y_2)\].
so if
\[\large m = \frac {y_2 - y_1}{x_2 - x_1}\]... m = ?

Answer 6

-2-(-4)
7-(-3) ?

Answer 7

yeah... but reverse that...
so
\[\large m = \frac {y_2 - y_1}{x_2 - x_1}\]
\[\large m = \frac {-3 - 7}{-4 - (-2)}\]
=???

Answer 8

-10/-6?

Answer 9

almost, its a double minus on the bottom row,
so = -10/-2 = 10/2 = 5

Answer 10

So that's my answer?

Answer 11

for m
so equation is
y = mx + c
to solve question, u need values for m and c

Answer 12

y = mx + c and m = 5, so
y = 5x + c

now, do u know how to find C?

Answer 13

I really don't