Ch3L6 Linear Equation-Write Equations

Question 1

how to write equation from

slope(constant m) and a point(x1,y1)

Question 2

How to write equation from slope and y-intercept(b)

Question 3

How to write equation from a graph?

Answer 3

find the y-intercept b and the slope m from the graph, then

y = mx+b

Question 4

How to write equation from Two points(x2,y2), (x1,y1)

Answer 4

First use these two point to find slope m = (y2-y1)/(x2-x1)

Then y -y1 = m(x-x1)

Question 5

How to write an equation from a table

Answer 5

use the paired of value in the table to get slope, and use one pair as a point

Question 6

Write an equation in point-slope form for the line that passes through (-2,3) with a slope of 4

Question 7

write the slope-intercept form of y -3 = 4(x+2)

Question 8

write an equation in point-slope form for the line which passes through (8,1) and (-2,9)

Question 9

write an equation in slope-intercept form for the line which passes through (8,1) and (-2,9)

Question 10

write an equation in point-slope form for the line which passes through (3,0) and (6,-3)

Question 11

the cost of assistance dog training sessions is that when you attend 5 session then your cost is $165. And if you attend 10 session then your cost will be $290. Write an equation in point-slope form to represent the cost y of attending x dog training sessions.

Question 12

The cost for making spirit buttons is like this: when you ask for 100 buttons, you need to pay $25. If you ask for 150 buttons, you need to pay $35. Write an equation in point-slope form to represent the cost y of making x buttons.