Intercept form of a straight line is a form of linear equation which is used to calculate the equation of the line. The intercept form of the given equation is,
\(y=3x+(-7)\)
Given-
The given equation in the question is,
\(y-5=3(x-4)\)
What is intercept form?
Intercept form of a straight line is a form of linear equation which is used to calculate the equation of the line.The standard form of the slope intercept is given as,
\(y=mx+b\)
To convert the given equation in the slope intercept form we need to make it look like the above equation.
\(y-5=3(x-4)\)
For this open the brackets of the given equation,
\(y-5=3x-12\)
Solve the equation for the y,
\(y=3x-12+5\)
\(y=3x-7\)
\(y=3x+(-7)\)
Compare the given equation with the standard form of the slope intercept we get the value of b is -7 and the value of slope m is 3.
Hence the intercept form of the given equation is,
\(y=3x+(-7)\)
Learn more about the intercept form here;
https://brainly.com/question/354683
