Question

50 POINTS!! What is (-4, 3) (-3, -1) in point slope form?
Y=4x+16
Y-3=-4(x+4)

Answer 1

Answer: y - 3 = -4(x + 4)

Step-by-step explanation:

`\bf point \ slope \ form: y-y_(1)=m\left(x-x_(1)\right)`

Find the slope: given points: (-4, 3), (-3, -1)

`\sf slope: (y_2 - y_1)/(x_2- x_1) \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points`

Insert values

`\rightarrow \sf slope: \ (-1-3)/(-3-(-4)) =-4`

Equation in point slope form:

`\sf\rightarrow y - 3 = -4(x - (-4))`

`\sf\rightarrow y - 3 =-4(x + 4)`

Additional, in slope intercept form:

`\sf\rightarrow y = mx + b \quad where \ 'm \ is \ slope' \ and \ 'b \ is \ y-intercept'`

`\sf\rightarrow y = -4 x - 16 +3`

`\sf\rightarrow y = -4x -13`