Question

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

Answer 1

Answer:

y = 1x + 3

Step-by-step explanation:

Slope (m) =

$\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

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

$\frac{3 - 0}{0 - ( - 3)}$

$m = \frac{3}{3}$

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

Answer 2

• 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.
• $m = \frac{change \: \: in \: \: y}{change \: \: in \: \: x} \\ = \frac{3 - 0}{ 0- (-3)} = \frac{3}{ 3} = 1$
• 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.