Which equation represents a line perpendicular to the line 2x 3y 6?

What line is perpendicular to the line 2x + 3y = 6 through (4, 1)? Explanation: The given equation is in standard form, so it must be converted to slope-intercept form: y = mx + b to discover the slope is –2/3. To be perpendicular the new slope must be 3/2 (opposite reciprocal of the old slope).

How do you find a perpendicular line that passes through a point?

Correct answer: Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6. Rearranged, it is –x/2 + y = 6.

What is the equation of a line through the origin and this point?

The equation of a straight line with gradient m passing through the origin is given by y = mx .

What is the slope of the line represented by the equation 2x 3y 6?

Reorder −2 – 2 and 2×3 2 x 3 . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 23 .

What is the answer to 2x 3y 6?

Answer: To solve for y for the equation 2x – 3y = 6, we will need to shift y to one side of the equation. And lastly, we bring the 3 also to the other side of the equation thus dividing the term (2x-6) by 3 which ultimately gives us the value of y.

Which of these lines passes through origin?

Any line passing through origin is of the form y = mx or ax + by = 0. Here in the given option, 2x – y = 0 is in the form ax + by = 0.

Which line passes through origin?

The slope intercept form is y = mx + b, where b is the y-intercept. In the equation y = 2x – 1, the y-intercept is -1. So, if you have an equation like y = 4x, there is no “b” term. Therefore, the y-intercept is zero, and the line passes through the origin.

What is the slope of the equation 2x?

2
The slope is: m=2.

What is the slope of 2x y 6?

this is the y = mx + b form, where m is the slope. So your slope is 2.