Question

Find the slope-intercept equation of the line

that passes through (4, -2) and has a slope of
-3.
a
-

Answer 1

y = -3x + 10

Explanation:

We write The slope-intercept equation of a line D Like this

D : y = mx+b (where m is the slope and p is the y-intercept)

__________________________

According to the given information:

The slope = -3

Then ,the equation of our line is : y = -3x + p

Now we need to find p:

Since The point (4, -2) lie on the line

then

-2 = -3(4) + p

then

-2 = -12 + p

then

p = 12 - 2 = 10

Conclusion:

y = -3x + 10