Make an equation of the line in slope intercept form the points on a coordinate plane are (-1,-8) and (2,7) so far i know y=5x but i don't know what the y- intercept would be

The y intercept is the y coordinate when x=0.

Use the formula y=mx+b.

y=5x+b

To do this, pick one of the points and substitute its points for x and y.

I chose (2,7):

7=5(2)+b

7=10+b

subtract 10 from both sides..

-3=b!

So the y intercept is -3.

The equation is y=5x-3! ^_^

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

by definition, an arc subtended by a central angle of some given measure has the same measure. so .