Question

Consider the line that passes through the point (3, -2) and has a slope of 2.

Part 1: Write the equation of this line using point-slope form.

Part 2: Using your equation from part 1, rewrite this equation in slope-intercept form. Make sure to show all of your work.

Part 3: Using your equation from part 2, rewrite this equation in standard form. Make sure to show all of your work.

Answer 1

IMPORTANT LINE RELATED EQUATIONS TO KNOW AND MEMORIZE

slope formula
m= slope/ gradiant -- same thing
\[m=\frac{y_2-y_1}{x_2-x_1}\]

standard formula
\[Ax+By=C\]

point-slope formula
\[y-y_1=m(x-x_1)\]

slope-intercept formula
b= y-intercept -- in the form of (0,y)

\[y=mx+b\]

Answer 2

y--2=2(x-3)

Answer 3

slope intercept:
to find this you have to...
-2=3(2)+b
-2=6+b
-6 -6
-8=b

now:
y=2x-8

Answer 4

Now standard:
subtract the 2x
-2x+y=-8

Answer 5

Perfect! Thank you!

Answer 6

No problem! Did you understand how I got that all?