Answer:
Equation of the line in point-slope form: y - 5 = -⅚(x - 2)
Equation of the line in slope-intercept form: y = -⅚x + 20/3
Step-by-step explanation:
Equation of a line can be expressed in the point-slope form as y - b = m(x - a), where,
m = slope = -⅚
a = 2
b = 5
Substitute the values into y - b = m(x - a):
y - 5 = -⅚(x - 2) => point-slope form.
We can rewrite this in the slope-intercept form, such as:
Multiply both sides by 6
6(y - 5) = -5(x - 2)
6y - 30 = -5x + 10
6y - 30 + 30 = -5x + 10 + 30
6y = -5x + 40
Divide both sides by 6
y = -5x/6 + 40/6
y = -⅚x + 20/3
cm