Question

100 points please help

Answer 1

Explanation:

The slope is essentially a y/x ratio that shows how many units y changes when x varies by a specific amount while moving from one place to another.

As a result, each line parallel to another must have the same slope.

The slope of a perpendicular line (which crosses another line at a 90-degree angle) simply flips x and y and flips the sign (+ to -, or - to +).

When x = 0, the y-intercept is the y value. As a result, it is b in the equation.

1a.

Because it is parallel, it has the same slope. And since the point is (0, 4), x=0 there. As a result, y value 4 is the y-intercept.

(2/5)x + 4 = y

1b.

Remember the description of the slope of perpendicular lines from earlier? and the y-intercept works in the same way as any other line.

(-5/2)x + 4 = y

2a.

Everything is already in place.

-6/1 = -6 is the perpendicular slope.

y – 4 = –6 (x - -1) -6 (x + 1)

3a.

We must read the coordinates and hence the slope of the graph.

It appears that F = (0, 2) and G = (2, 1)

For the slope, x increases by +2 (from 0 to 2) while y decreases by -1. (from 2 to 1).

the incline is

-1/2

The slope of a line parallel to this line is the same.

so,

(-1/2) = y - 5 (x - 3)

Answer 2

Explanation:

the slope is actually a ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.

so, any line parallel to another line must have the same slope.

the slope of a perpendicular line (crosses the other line in a 90 degree angle) simply changes x and y upside-down and flips the sign (+ to -, or - to +).

the y-intercept is the y value when x = 0. so, it is b in the equation.

1a.

parallel, so it has the same slope. and the point is (0, 4), so x=0 there. therefore, the y value 4 is the y-intercept.

y = (2/5)x + 4

1b.

remember the description above about the slope of perpendicular lines. and the y-intercept follows the same principle as for any other line.

y = (-5/2)x + 4

2a.

everything is already there.

the perpendicular slope is -6/1 = -6

y - 4 = -6×(x - -1) = -6×(x + 1)

3a.

we need to read the coordinates and therefore the slope in the graph.

it seems F = (0, 2) and G = (2, 1)

for the slope, x changes by +2 (from 0 to 2), y changes by -1 (from 2 to 1).

the slope is

-1/2

a line parallel to this line has the same slope.

so,

y - 5 = (-1/2)×(x - 3)