What is the equation of the line that passes through (- 2 3 and is parallel to 2x 3y 6?

The equation of the line that passes through (-2, 3) and is parallel to 2x + 3y = 6 is 2x + 3y – 5 = 0.

What equation is parallel to Y =- 2x 3?

When written in slope-intercept form you simply look at the coefficient of the ‘x’ term. In this instance the coefficient is 2. Therefore any equation that has a slope of 2 will be parallel to y=2x-3. In general we can say that the family of equations parallel to y=2x-3 is y=2x+b where b is the y-intercept.

How do you find the equation of a line parallel to the y axis?

What is the Equation of the Line Parallel to y-axis? The equation of the y-axis is given by x = 0. The equation of the line parallel to the y-axis is x = k, where ‘k’ is any real number.

What is an equation of the line that passes through the point (- 2 1?

The slope of that line is 2. Parallel lines have the same slope, so the line passing through (2,-1) has a slope of 2. It’s equation so far is y = 2x + b.

What is the equation of the line that passes through 4 2 and is parallel to 3x 2y 6?

= 8
Answer: The Equation of the Line that Passes through (4, 2) and is Parallel to 3x – 2y = –6 is 3x – 2y = 8.

What is the equation of the line passing through point M and parallel to y-axis?

Answer: Thus, if P(x, y) is any point on AB, then x = a. Hence, the equation of a straight line parallel to y-axis at a distance a from it is x = a. The equation of y-axis is x = 0, since, y-axis is a parallel to itself at a distance 0 from it.

What is the slope of the line parallel to y = 2x + 3?

So the Slope of the line PARALLEL to y = 2x + 3 will also be 2. And we are given that it passes through the point ( − 3,4) With this, we can use the Point Slope form to find the equation of the line.

What makes a line distinct from other parallel lines?

Here value of k makes a line distinct from other parallel lines . Equation of the line is 3x+y =k . Try to find value of k using other information in the question. It’s given that the line passes through point (2,-3). So it will satisfy this point.

What is the equation for a line with a slope of -3?

Any line parallel to this line must have a slope of -3. We are looking for a line passing through (2,3) therefore using the the slope y intercept equation we know that -3=-3 (2)+b thus -3=-6+b and finally b=3. Therefore the equation we need is y=-3x+3.