Question

I will give brainleist

Answer 1

Let's write the equation in standard from

$y = mx + b$

Where,

• m is slope or rate of change
• b is the y-intercept or initial value

Let's start by finding slope⤵️

$\boxed{ \sf \: m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}}}$

• x1, y1 = 0,12
• x2, y2 = 1,13

$\tt \: m = \frac{13 - 12}{1 - 0}$

$\tt \: m = \frac{1}{1}$

$\tt \: m = 1$

• b = 12

Equation⤵️

$\sf \: y = 1x + 12$

Answer 2

Solution:

Step-1: Create a coordinate plane.

• Graph attached~

Step-2: Plot the points on the graph.

• Points have been plotted on the graph.

Step-3: Choose any two points on the graph.

• My chosen points are (2,14) and (3,15).

Step-4: Find the slope of the line by using y₂ - y₁/x₂ - x₁.

• => 15 - 14/3 - 2
• => 1/1
• => Slope = 1

Step-5: Find the y-intercept.

• We are given a point (0,12), where 0 is the x-coordinate. Since it is 0, 12 is the y-intercept.

Step-6: Revise the equation created.

• y = mx + b (m = slope; b = y-intercept)
• => y = (1)x + 12
• => y = x + 12

Hoped this helped!