Follow the steps and write the equation represented by this graph. step 1: write the general equation. step 2: identify b, the y intercept (x = 0) b=a0 step 3: the second point from graph (x, y) p=a0,a0 step 4: define m as ratio of rise / run m = rise / a0 step 5: put coordinates into ratio and get (7-a0 ) / ( a0-0) step 6: perform subtraction; get slope a0/1 step 7: substitute values into y = mx + b step 8: write answer y = a0 x + a0

The steps that involve for finding the equation of the line are as follow,

Step 1 : Since, the general equation of a line is y = mx + c

Where, m is the slope of the line,

Step 2 :  By the graph,

The y-intercept( the point at which the line intersects the y-axis ) of the line is (0,3),

Step 3 : Again by the graph,

The second point on the line is (1,7),

Step 4 : Since, the slope of a line passes through the points and is,

Step 5 : Thus, the slope of the line passes through the points (0,3) and (1,7) is,

Step 6 :

Perform subtraction,

Step 7 : By substituting the value of m into the general equation,

y = 4x + c

(0,3) must satisfy this equation,

3 = 0 + c

⇒ c = 3,

Thus, by substitution,

We get,

y = 4x + 3

Step 8 :

Hence, the required equation of the given line is,

y = 4x + 3

step-by-step explanation:

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