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The equation of <em>line m</em>, in point-slope form is: y + 3 = 4(x - 1)
<em><u>Recall:</u></em>
- The slopes of parallel lines are equal to each other.
- Slope-intercept form equation is: y = mx + b, where m is slope and b is y-intercept.
- Point-slope form equation is:
where,
is a point and m is the slope.
Equation of line m is y = 4x + 2
Slope of line m is 4
Since line m and line n are parallel, both lines will have the same slope. Therefore, the slope of line n is 4.
To write the equation for line if it contains the point (1, -3), substitute = (1, -3) and m = 4 into
:
Therefore, the equation of <em>line n</em>, in point-slope form is: y + 3 = 4(x - 1)
Learn more about point-slope equation on:
Answer:
a=4, b=5/2
Step-by-step explanation:
Assuming the given equation is
We expand the left hand side to get:
If this equation must have infinitely many solutions, then
Also we must have
Put a=4 to get:
Answer:
i. Time = 2 hours.
ii. Average speed for the whole journey = 25 km/h
Step-by-step explanation:
Distance from Antville to Beetleton = 60 km
Mr. Caterpillar's speed = 30 km/h
Speed =
⇒ time =
=
= 2
time = 2 hours
It would take Mr. Caterpillar 2 hours to travel from Antville to Beetleton at that speed.
On his return journey, his average speed is 20 km/h. Therefore;
average speed for the whole journey =
=
= 25
average speed for the whole journey = 25 km/h