Question

Enter the equation of the line in slope-intercept formSlope is -4, and (6,1) is on the line.The equation of the line is

Answer 1

Equation of a line in slope-intercept form:

$y=mx+b$

m is the slope

b is the y-intercept

As you have the slope (m= -4) and a point (6,1) you use it in the equation above to find the y-intercept, as follow:

(6,1) x=6 y=1

m= -4

$1=-4(6)+b$

Solve b:

$\begin{gathered} 1=-24+b \\ \\ 1+24=-24+24+b \\ 25=b \end{gathered}$Then, the equation of the given line in slope-intercept form is:$y=-4x+25$