Question

write the slope-intercept form of the equation of each line 3x-2y=-16

Answer 1

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Write the slope-intercept form of the equation of each line 3x-2y = -16.

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➱ The slope intercept form is defined as y = mx+b,

Where, m is the slope an b is y intercept.

So, we must solve for y.

Therefore,

Subtract 3x in both sides:-

$3x - 3x - 2y = - 16 - 3x$

$- 2y = - 16 - 3x$

Now,

Divide –2 in both sides:-

$\frac{ - 2}{ - 2}y = \frac{ - 16 - 3x}{ - 2}$

After simplify this equation we get,

$y = \frac{3}{2} x + 8$

Hence,

We will written in slope intercept.

Where,

• m (the slope) = $\frac{3}{2}$
• And our y intercept = 8.