Write the equation of the line that passes through point (–1, –2) with a slope of -7.?

Answer 1

Slope is defined as the vertical change divided by the horizontal change.

In this case, a line has a slope that is constant.

Using (-1, -2) and using (x, y) to represent any point on a line the slope would be

[ y + 2 ] / [ x + 1 ]

Since the slope of a line is constant and the given slope for this line is -7, then the equation is...

[ y + 2 ] / [ x + 1 ] = -7

You can cross multiply to get this into standard form:

y + 2 = -7x - 7

7x + y = - 9

[ p.s. y = mx + b is called slope-intercept form, Ax + By = C is called standard form, and there are several other forms for the equation of a line]

Answer 2

y = mx + c is the standard form of the equation for a straight line.

Here slope m = -7 and so we write y = -7 x + c and since the line goes through -1, -2 we have -2 = (-7 X -1) + c = 7 + c or c = -9

So the equation is, y = -7 x -9

Answer 3

2) use the equation y=mx+b the place m=slope and b=y-intercept (5,4) m=(-a million/5) y=(-a million/5)x+b 4=(-a million/5)5+b 4=-a million+b 5=b y=(-a million/5)x+5 3) y=mx+b (12,a million) m=4/3 y=(4/3)x+b a million=(4/3)12+b a million=sixteen+b -15=b y=(4/3)x-15 4) y=mx+b (0,-3) y=0x+b -3=(0)0+b -3=b y=-3 5) y=mx+b (-3,-10) m=2 y=2x+b -10=(2)(-3)+b -10=-6+b -4=b y=2x-4 6) y=mx+b (-2,4) m=(a million/2) y=(a million/2)x+b 4=(a million/2)(-2)+b 4=-a million+b 5=b y=(a million/2)x+5 7) y=mx+b (4,-8) m=5/4 y=(5/4)x+b -8=(5/4)4+b -8=5+b -thirteen=b y=(5/4)x-thirteen

Answer 4

(x,y) = (-1, -2) and your equation is y=mx+b

so plug it in.

-2 = m(-1) + b

your slope (m) is = -7

so plut it in as well.

-2 = -7(-1) + b

then, begin to solve... -7 times -1 = 7

-2 = 7 + b

subtract 7 from both sides

-9 = b

then, you plug your (m) slope and y-intercept (b) into the equation.

it becomes:

y = -7x - 9.

^_^ have a lovely day. and good luck.

Answer 5

y = -7x + c

We know that

-2 = -7(-1) + c
-2 = 7 + c
c = -9

y = -7x - 9

Answer 6

y - b = m.(x - a)
y - (-2) = - 7.(x - (-1))
y + 2 = - 7.(x + 1)
y + 2 = - 7x - 7
y = - 7x - 9