HELP QUICK!
Use the slope-intercept form of the linear equation to write the equation of the line with the given slope and y-intercept.
Slope [tex]\frac{2}{3}[/tex] Y-intercept: (0,-5)

Respuesta :

Answer: y = 2x/3 - 5

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent.

The given line has a slope of 2/3 and it passes through (0,- 5)

To determine the intercept, we would substitute x = 0, y = - 5 and m= 2/3 into y = mx + c. It becomes

- 5 = 3/2 × 0 + c

c = - 5

The equation becomes

y = 2x/3 - 5