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densk [106]
3 years ago
6

A line that passes through the point (x,y), with a y intercept of band a slope of m, can be represented by the equation y = mx +

b.
A line is drawn on the coordinate plane that passes through the point (3.-6) and has a slope of 4. The y intercept of the line is
Mathematics
1 answer:
ladessa [460]3 years ago
6 0

Answer:

y = 4x - 18

Step-by-step explanation:

Write out y = mx + b.

The slope of the line in question is 4.  Thus we have y = 4x + b.

Finally, substitute -6 for y, 3 for x and solve for b:

-6 = 4(3) + b, or -6 = 12 + b.  Then b = -18, and the equation of this line is

y = 4x - 18

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Two basketballs are thrown along different paths. Determine if the basketballs’ paths are parallel to each
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Answer:

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

Step-by-step explanation:

Remember that:

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So, let's find the slope of each equation.

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We can convert this into slope-intercept form. Subtract 3<em>x</em> from both sides:

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So, the slope of the first basketball is -3/4.

The second basketball is modeled by:

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Again, let's convert this into slope-intercept form. Add 6<em>x</em> to both sides:

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And divide both sides by negative eight:

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So, the slope of the second basketball is also -3/4.

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

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What is 922/21 as a mixed number?
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