Question

Convert the equation y-5=3(x-4) into slope intercept form

Answer 1

y-5 = 3(x-4)
y-5 = 3x - 12
y = 3x - 7

Answer 2

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