301,981 views
34 votes
34 votes
Write an equation in slope intercept form given the slope and a point or given two points. Equation below: m = -2; (7,-4) Can someone please help me do this I don’t remember how to the answer and I need to show my work Thank you soo much!!!​

User Elialm
by
2.3k points

2 Answers

15 votes
15 votes

Explanation:

Answer:

y = -2x + 10

use the following formula:

y₁ - y = m ( x₁ - x )

using this formula:

\hookrightarrow↪ y₁ - y = m ( x₁ - x )

\hookrightarrow↪ y - -4 = -2 ( x - 7 )

\hookrightarrow↪ y + 4 = -2 ( x - 7 )

\hookrightarrow↪ y = -2x + 14 -4

\hookrightarrow↪ y = -2x + 10

User Tfayyaz
by
3.0k points
14 votes
14 votes

Answer:


\huge\boxed{\sf{y=-2x+10}}

Explanation:

Hello.


\mathbb{GIVEN:}

  • Slope (m) = -2
  • Point that the line intersects: (7, -4)


\mathbb{SOLUTION:}

  • First, let's write the equation in point-slope form:

y-y₁=m(x-x₁)

y-(-4)=-2(x-7)

y+4=-2(x-7)

y+4=-2x+14

y=-2x+14-4

y=-2x+10

And we're done!

I hope it helps & have an outstanding day! :)

~ST2710 :)

User Circle Hsiao
by
3.1k points