Find the standard equation for a line with a slope=3 and y-intercept= -2

Standard equation for a line is:

Ax + By = C

where A, B and C are integers, and A is positive

Slope-intercept from is:

y = mx + b

where m is the slope and b the y-intercept. Replacing with m = 3 and b = -2, we get:

y = 3x - 2

or

-3x + y = -2

multiplying by -1 at both sides:

3x - y = 2

This equation satisfies the standard form, with A = 3, B = -1 and C = 2

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm