A line passes through the point (8,3) and has a slope of -3/4. Write an equation in slope intercept form for this line.
1 answer:
You might be interested in
Answer: The ramp would be 15.5 feet long.
Step-by-step explanation: Please refer to the attached diagram for details.
Angle C shows the angle to be formed by the ramp from the ground, which is 15 degrees. Also, from the ground, it’s going to be four feet tall, which is line AB. The top of the ramp is point A, which makes line AC the entire length of the ramp. Since we have a reference angle (angle C) and two sides, the opposite and the hypotenuse, we shall apply the trigonometric ratio.
SinC = opposite/hypotenuse
Sin 15 = 4/b
By cross multiplication we now have
b = 4/Sin15
b = 4/0.2588
b = 15.4599
Approximately b = 15.5
Therefore the length of the ramp would be 15.5 feet
The equation of line with undefined slope and x - intercept -7 is x = -7
<em><u>Solution:</u></em>
Given that the slope of line is undefined and the x intercept is -7
To find: Equation of line
If a line has undefined slope, then it is a vertical line
A vertical line has undefined slope because all points on the line have the same x-coordinate
<em><u>The equation of a vertical line always takes the form:</u></em>
x = b
where, "b" is the x - intercept
Given x - intercept is -7
<em><u>Thus the equation of line is:</u></em>
Therefore, the equation of line is found