Question

Write an equation in slope-intercept form of the line through point P(10, –9) with slope 3.

Answer 1

Answer:

y = 3x - 39

Step-by-step explanation:

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

$y=mx+b$

m - slope

b - y-intercept

We have the slope m = 3 and the point P(10, -9).

Pu the value of slope and the coordinates of the point (x = 10, y = -9) to the equation of a line:

$-9=3(10)+b$

$-9=30+b$           subtract 30 from both sides

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

Finally:

$y=3x-39$