Question

Write an equation of the line that passes through the point (8, 1) with slope 5.

Answer 1

Answer:

y = 5x - 39

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

Put the value of slope m = 5 and the coordinates of the given point (8, 1) to the equation of a line:

$1=(5)(8)+b$

$1=40+b$            subtract 40 from both sides

$-39=b\to b=-39$

Finally:

$y=5x-39$