You travel 275.5 miles in 8.5 hours whats the speed
1 answer:
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Answer:
The equation in the slope-intercept form will be:
Step-by-step explanation:
Given
- slope = m = 6
- point = (1, 3)
As we know that the equation of a line in point-slope form is
substituting the values m = 6 and point = (1, 3)
Writing the equation in slope-intercept form
where m is the slope, and b is the y-intercept
so the equation of the line in slope-intercept form becomes
add 3 to both sides
Therefore, the equation in the slope-intercept form will be:
Answer:
Slope of required line if both lines are parallel: y=4x-20
Slope of required line if both lines are perpendicular: y=-1/4x+14
Step-by-step explanation:
We need to find equation of line while we are given another line having equation y=4x-6 and passes through point (8,12)
<u><em>Note: Since it is not given if the required line is parallel or perpendicular to the given line. I will solve for both cases.</em></u>
If Both lines are parallel the equation of new line will be:
We need to find slope and y-intercept to write equation of new line.
When lines are parallel there slopes are same
So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)
Slope of new line is: m=4
Now finding y-intercept
Using slope m=4 and point (8,12) we can find y-intercept
y-intercept of new line is: b=-20
Equation of required line having slope m=4 and y-intercept b=-20 is
If Both lines are perpendicular the equation of new line will be:
We need to find slope and y-intercept to write equation of new line.
When lines are perpendicular there slopes are opposite of each other
So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)
Slope of new line is: m=-1/4
Now finding y-intercept
Using slope m=-1/4 and point (8,12) we can find y-intercept
y-intercept of new line is: b=14
Equation of required line having slope m=-1/4 and y-intercept b=14 is