Respuesta :

The required equation of the line is y = 4x - 15

   

The slope-intercept form of a line:

The slope-intercept form of a line is given by

          y = mx + c

Where m = slope and c =  y-intercept

Given slope of line m = 4 and the point is (2, -7)

As we know

The slope-intercept form is, y = mx + c --- (1)  

From the given data, m = 4

Substitute m = 4 in (1)

=> y = 4x + c ---- (2)

Here (2) will pass through (2, -7)

(2) =>  - 7 = 4(2) + c  

=> - 7 = 8 + c

=> c = - 8 - 7

=> c = - 15  

=> (2) => y = 4x - 15

Therefore,

The required equation of the line is y = 4x - 15

Learn more about Slope-intercept form at

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