through: (3,3), slope=7/3

write the slope-intercept form of the equation of the line through the given point with the given slope.

Respuesta :

MsRay

Answer:

y = [tex]\frac{7}{3}[/tex]x -4

Step-by-step explanation:

The slope-intercept form of an equation of a line is given by:

y = mx + b, where m = slope and b = y-intercept

Given the slope and point on a line, you can solve for 'b' in the equation:

(3, 3)  - x = 3, y = 3

slope = [tex]\frac{7}{3}[/tex]

Plug into the equation:

3 = [tex]\frac{7}{3}[/tex]*3 + b

3 = 7 + b

-4 = b

y = [tex]\frac{7}{3}[/tex]x - 4