Answer :

bradnorris03

Answer:

y=-9/6x+1

Step-by-step explanation:

Slope=y2-y1/x2-x1

1) Find the slope of the line:

(-5-4)/(4+2)

2) Simplify:

m= -9/6

3) Now plug in the slope into point slope formula: (attached as picture)

(y-4)=-9/6(x+2)

4) Distribute -9/6 to x and 2:

y-4=-9/6x-3

5) Add 4 to both sides:

y=-9/6x+1

${teks-lihat-gambar} bradnorris03
CharlieBrown2002

Answer:

[tex]\Huge\boxed{\mathsf{Y=-\frac{3}{2}x+1}}}[/tex]

Step-by-step explanation:

TO FIND:

The slope of (-2,4) and (4,-5).

TO SOLVE:

With slope-intercept form and slope formula.

SLOPE FORMULA:

[tex]\displaystyle \mathsf{\Rightarrow \frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}  }}[/tex]

SLOPE-INTERCEPT FORM:

[tex]\displaystyle \mathsf{\Rightarrow Y=MX+B}}[/tex]

SOLUTIONS:

Y₂=(-5)

Y₁=4

X₂=4

X₁(-2)

Solve.

[tex]\displaystyle \mathsf{\frac{(-5)-4}{4-(-2)}=\frac{(-5)-4}{4+2}=\frac{-9\div3}{6\div3}=\frac{-3}{2}=-\Rightarrow \frac{3}{2}     }}[/tex]

Y-intercept is 1.

Y=-3/2x+1.

[tex]\Large\boxed{\mathsf{Y=-\frac{3}{2}x+1 }}}[/tex]

The correct answer is y=-3/2x+1.

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