Find the equation of the line specified. the slope is 7, and it passes through ( 8, 6).
a. y = 7x - 50
c. y = 7x + 6
b. y = 14x - 50
d. y = 7x + 62
determine the slope and y-intercept of the line. y = 5x + 4
a. slope = 4, y-intercept is (0, 5)
c. slope = 5, y-intercept is (0, 4)
b. slope = -5, y-intercept is (0, 4)
d. slope = 4, y-intercept is (0, -5)
find the equation of the line specified. the slope is 6, and it passes through ( -4, 4).
a. y = 6x + 4
c. y = 12x +

Part 1).

Slope of line = 7 and Passing through point = ( 8 , 6 )

We find the equation of line using point and slope form,

y - 6 = 7 ( x - 8 )

y - 6 = 7x - 56

y = 7x - 56 + 6

y = 7x - 50

Therefore, Option A is correct.

Part 2).

Given Equation of line y = 5x + 4

We have to find slope of line and y-intercept.

We compare the given equation line with slope intercept form

y = mx + c

where m = slope of line and c =  y-intercept of line.

So Slope, m = 5 and y-intercept = 4 or ( 0 , 4 )

Therefore, Option C is correct.

Part 3).

Slope of line = 6 and Passing through point = ( -4 , 4 )

We find the equation of line using point and slope form,

y - 4 = 6 ( x - (-4) )

y - 4 = 6 ( x + 4 )

y - 4 = 6x + 24

y = 6x + 24 + 4

y = 6x + 28

Therefore, Equation Of line is y = 6x + 28

step-by-step explanation:

3024 rhe base is what up in worry about

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."