Question

@laurenlauren12345, here!

Answer 1

Hi !!! What is the slope intercept form that passes through the given point and is perpendicular (-6,4), 3y =2x-3? What is the answer?! Help!! :)

Answer 2

Slopes y-intercepts:

\[\huge\color{blue}{ y=mx+b } \] Slope intercept form.

Answer 3

Lets take an example:\[\huge\color{blue}{ y=3x+2 } \] how would you know how to graph the line?
choose any x-value.

lets make x equal -1, plug it in, \[\huge\color{blue}{ y=3x+2 } \]\[\huge\color{blue}{ y=3(-1)+2 } \]\[\huge\color{blue}{ y=-3+2 } \]\[\huge\color{blue}{ y=-1 } \]

Answer 4

So we know that when x=-1 y=-1 (y and x don't have to be the same, this just happened like this), so your point (one of them, would be (-1,-1)

Answer 5

Wut is the answer?

Answer 6

perpendicular to 3y =2x-3 line, and passes through (-6,4)

write your equation in y=mx+b form, divide everything by 3,
3y/3=2x/2-2
y=2/3 x - 2/3

perpendicular slope to any slope (let slope represent m, is) -1/m.

Answer 7

-3/2 would be perpendicular to 2/3

Answer 8

So that is the answer

Answer 9

So, now, the y-intercept is unknown,
say,

y= -2/3 x +b

plug in your point,
4=-2/3 (6) + b
4 = -4 +b
b=8

KNOWING your y-intercept=8 and slope =-3/2 the answer is?

Answer 10

Y=-3/2 +8

Answer 11

Close, y=-3/2x+8

Answer 12

as y=mx+b