Question

Write the equation of the line through the given point with the given slope. If possible use slope-intercept form. Simplify completely Through: (-3, -3) slope 5/3

Answer 1

Answer: The equation is

y = 5x/3 + 2

Step-by-step explanation:

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

change in the value of y = y2 - y1

Change in value of x = x2 -x1

The slope is given as 5/3 and the point that it passes through is

(-3, -3)

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

- 3 = 5/3 × - 3 + c = - 5 + c

c = - 3 + 5 = 2

The equation becomes

y = 5x/3 + 2