Question

Find the equation (in slope intercept form of the line passing through the points with given coordinates (3,-4) , (2,-3)

Answer 1

To find the equation, use the slope-intercept form.

Slope-intercept form:

y=mx+b

• m is the slope.
• b is the y-intercept.

(3,-4) (2,-3)

• y₂=(-3)
• y₁(-4)
• x₂=2
• x₁=3

Rewrite the problem.

`\sf{(-3-\left(-4\right))/(2-3)}}`

Solve.

`\sf{= (1)/(-1)}= -1`

-1 is the y-intercept.

`\Longrightarrow: \boxed{\sf{y=-x-1}}}`

Therefore, the final answer is y=-x-1.

I hope this helps, let me know if you have any questions.