Question

Identify the equation that describes the line in slope-intercept form slope = 3/4 point (2, 2) is on the line

Answer 1

Answer:

y = (3/4)x + 1/2

Step-by-step explanation:

the slope-intercept form is in general

y = ax + b

with a being the slope, and b the y-intercept (the y-value when x = 0).

because we got the slope and a point we can start with the point-slope form and then transform the equation.

the point-slope form is in general

y - y1 = a(x - x1)

a is again the slope (the same value), and (x1, y1) is a point on the line.

so,

y - 2 = 3/4 × (x - 2) = (3/4)x - 3/2

y = (3/4)x - 3/2 + 2 = (3/4)x - 3/2 + 4/2 = (3/4)x + 1/2