Question

Find the equation of the graph using the formula:
y=mx+c

Answer 1

• Here, y = mx + c is the slope-intercept form of the equation of the line given in the graph, where m is the slope and the y-intercept is c.
• Here, the line cuts 3 on the y-axis and -3 on the x-axis. So, here the coordinates are (0,3) and (-3, 0) respectively.
• Firstly let us find the slope of the line m.
• 
  `m = (change \: \: in \: \: y)/(change \: \: in \: \: x) \\ = (3 - 0)/( 0- (-3)) = (3)/( 3) = 1`
• So, m = 1
• And y-intercept c = 3
• So, the equation is like this:
• y = mx + c
• or, y = (1)x + 3
• or, y = x + 3

Answer:

y = x + 3

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer 2

y = 1x + 3

Explanation:

Slope (m) =

`(y_(2) - y_(1))/(x_(2) - x_(1))`

Points: (0,3) & (-3,0)

`(3 - 0)/(0 - ( - 3))`

`m = (3)/(3)`

m = 1

y = 1x + b

To find b:

3 = 1(0) + b

3 = b or b = 3

Final Answer: y = 1x + 3

Double Check:

3 = 1(0) + 3

3 = 3

0 = 1(-3) + 3

0 = - 3 + 3

0 = 0