Gradient and y-intercept

Gradient

100

The slope of y=5x+14

5

200

The slope of two coordinates (0,0) and (3,2).

2/3

300

The slope of the line containing (2,8), (-1,-4), (10,40).

4

400

What is a gradient of the line 2x+4y+1=0

-1/2

y-intercept

100

The y-intercept of the line containing (2,0) and (0,-3)

-3

200

y=65x+213's y-intercept.

213

300

Where a line crosses the y-axis.

y-intercept

400

What is the gradient of the line 2x+4y=1

-1/2

Equation forms

100

y= 3/4x + 2, what is the slope and y intercept?

m= 3/4 b= 2

200

y - 10= 1/4x

y= 1/4x +10

300

A yoga class in a fitness center charges a $200 registration fee plus $12 per lesson.  Write an equation to determine the amount of money a person will spend (y), for any number of lessons (x).

y= 12x + 200

400

A dog walker earns $10 plus $3 per dog. What equation represents this model?

y = 3x + 10 

Looking at graphs

100

Write an equation of a line with slope 7 passing through the point (-1,3).

y=7x+10

200

Write an equation of the line passing through the point (-7,-6) with slope m=4.

y=4x+22

300

The cost of a school banquet is $95 plus $15 for each person attending. Write an equation that gives total cost as a function of the number of people attending. What is the cost for 77 people?

$1250

400

Find the y-intercept of a line that passes through    (−2, 6) and has a slope of –5

-4