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)

Explanation:

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

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

$\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points$

Insert values

$\rightarrow \sf slope: \ \dfrac{-1-3}{-3-(-4)} =-4$

Equation in point slope form:

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

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

Additional, in slope intercept form:

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

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

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