Table of Contents
- 1 Which equation represents a line parallel to the line whose equation is and passes through the point 1 3?
- 2 What is the slope of the line whose equation is 4x 3y 7?
- 3 Which of the following equations defines a line that is parallel to the line y =- 4 3x 4?
- 4 What is the slope of a line parallel to 3y 4x 7?
- 5 What two equations represent parallel lines?
Which equation represents a line parallel to the line whose equation is and passes through the point 1 3?
y1-y2=m(x1-x2). Since the problem says that the new line must pass through the point (1,3), we can plug in the x and y values in to the equation. Choice 2 is the correct answer choice.
What is the slope of the line whose equation is 4x 3y 7?
–4/3
Correct answer: We should put this equation in the form of y = mx + b, where m is the slope. We start with 4x + 3y = 7. Rearrange terms: y = –4/3 * x + 7/3, so the slope is –4/3.
Which equation represents a line which is parallel to line?
In order to be parallel to your line, a line has to have the same slope as your line. So it has to have slope −4. Thus any line parallel to the line y=−4x+5 has an equation of the form y=−4x+b, where b is any number.
Which equation represents a line which is parallel to the y axis?
A line that is parallel to the y-axis is of the form ‘x=k’, where ‘k’ is any real number and ‘k’ is the distance of the line from the y-axis. For example, the equation of a line which is of the form x = 3 is a line parallel to the y-axis and is 3 units away from the y-axis.
Which of the following equations defines a line that is parallel to the line y =- 4 3x 4?
The equation of the line parallel to y=43x−4 that passes through (8,6) is y=43x−143 . Question #2: Perpendicular means negative reciprocal slopes. Hence, the slope perpendicular to y=43x−4 is y=−34 .
What is the slope of a line parallel to 3y 4x 7?
Using the slope-intercept form, the slope is −43 . All lines that are parallel to y=−4×3−73 y = – 4 x 3 – 7 3 have the same slope of −43 .
How do you find the slope of 5x 4y 9?
5x-4y=9
- Slope=2.500/2.000=1.250.
- x-i”ntercept=9/5=1.80000.
- y-i”ntercept=9/-4=-2.25000.
What are equations of parallel lines?
Parallel lines have the same slope. The slope of the line with equation y=2x+3 is 2 . So, any line parallel to y=2x+3 has the same slope 2 .
What two equations represent parallel lines?
Two lines are parallel if and only if their slopes are equal. The line 2x – 3y = 4 is in standard form. In general, a line in the form Ax + By = C has a slope of –A/B; therefore, the slope of line q must be –2/–3 = 2/3.