Question

Find an equation of the line described. write the equation in slope-intercept form if possible.

slope: 8/9, through (3,3)

Answer 1

slope-intercept form: y = mx + b

m = slope, b = y-intercept

Plug in (3,3) for (x, y)

3 = (8/9)(3) + b

Solve for b. First, simplify

(8/9)(3) = ~2.67 (rounded)

3 = 2.67 + b

Isolate the b. Subtract 2.67 from both sides

3 (-2.67) = 2.67 (-2.67) + b

b = 3 - 2.67

b = 0.33

Plug in 0.33 for b in the equation.

y = (8/9)x + 0.33 is your slope-intercept form.

hope this helps