Question

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.

Answer 1

y =
`(7)/(3)`x -4

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 =
`(7)/(3)`

Plug into the equation:

3 =
`(7)/(3)`*3 + b

3 = 7 + b

-4 = b

y =
`(7)/(3)`x - 4