1 Point
Write an equation of the form y= mx for the line shown below. If appropriate,
use the decimal form for the slope.
(-2,3)
(4, -6)

Step-by-step explanation:

The Slope-Intercept form of the equation of the line is:

Where "m" is the slope of the line and "b" is the y-intercept.

Find the slope of this line using the formula:

You can say that:

Substituiting values, you get:

Now, you must substitute the slope and any point of the line, into   and then you must solve for "b" in order to find its value. You get that this is:

Since the y-intercept is 0, the line passes through the origin. Therefore,  you get that the equation of this line in Slope-Intercept form, is:

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

555.99.

step-by-step explanation:

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