Write a slope-intercept equation?

Question

Write a slope intercept equation for a line passing through the given point that is paraelle to the given line. Then write a second equation for a line passing through the given point that is perpendicular to the given line.

(8, -2), y = 4.2(x - 3) + 1

Answer 1

the 4.2 means that the slope of the line is 4.2 so we put the equation in pt slope form.

y+2=4.2(x-8)

then solve for y

y=4.2x-33.6-2
the equation in slope intercept form is... y=4.2x-35.6

Now for perpendicular

the opposite of 4.2 is -1/4.2 or about -.24

so same process

y+2=-.24(x-8)

then solve for y

y=-.24x-.09524 is the equation of the perpendicular line

Answer 2

Look at the eqn for y and rewrite it:
y(x) = 4.2 x - 12.6 + 1 = 4.2x - 11.6
the slope is m = 4.2
So a line parallel to the one above will have a slope of m = 4.2
y(x) = 4.2x + b where b is the y-intercept
y(8) = 4.2(8) + b = -2
b = -2 + 33.6 = 31.6
the parallel line is y(x) = 4.2x + 31/6

Now for the perpendicular line; the slope will be the negative reciprocal of the first slope: m1 = -1/m, with m from above
m1 = -1/4.2
The new equation will be y1(x) = m1x + b1 where b1 is the y-intercept
y1(8) = (-1/4.2)(8) + b1 = -2
-8/4.2 + b1 = -2
b1 = -2 + 8/4.2 = -2(4.2)/4.2 + 8/4.2 = (8-8.4)/4.2
= -.4/4.2 = ~ -.095
y1(x) = (-1/4.2)x - 0.095, the perpendicular line

Answer 3

m right here skill the slope... as a result that is -3. that's the reason u have the -3x interior the answer. the intercept is 0,-2. meaning that the line crosses the graph the place y is -2 and x is 0. we continually positioned the y intercept interior the equation besides. so because of the slope of -3 and the y intercept given of -2 the equation will become y=-3x-2. we stick to the y=mx+b form the place m is the slope and b is the y intercept wish that helps a splash

Answer 4

y=4.2(x-3)+1
y=8x-24+1
y=8x-23
Eq. of line parallel to the above line and passing through(8,-2)is
y+2=8(x-8). ANS.

Answer 5

y= 4.2x +b
-2= 4.2*8+b --> b = -35.6
So y = 4.2x -35.6 for parallel line

y = - 1/4.2 x + b =
-2 = -8/4.2 = b --> b = -.09524
So y = -x/4.2 -.09524 for perpendicular line