Which equation represents a line that passes through 2 1 2 and has a slope of 3?

Answer and Explanation: The line passes through the coordinates, (x1,y1)=(2,−1) ( x 1 , y 1 ) = ( 2 , − 1 ) . The slope of the line is m=3 .

Which point slope equation represents a line that passes through 3 2?

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3 ? The equation of a linear function in point-slope form is y – y1 = m(x – x1).

How do you find the equation of a line that passes through a point and has a slope?

Find the Equation of a Line Given That You Know a Point on the Line And Its Slope. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

How do you find the slope of a line that passes through the 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.

Which equation represents a line that passes through (- 9 3?

Answer: The required equation of line is y=-6x-57. Where m is slope of the line. It is given that a line that passes through (–9, –3) and has a slope of –6.

How do I find the slope of the line?

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

What is point slope intercept form?

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).

What is the equation of the line?

The equation of a straight line is usually written this way: y = mx + b.

How do you find the slope intercept form of an equation?

To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. This is the value of m in the equation. Next, find the coordinates of the y-intercept–this should be of the form (0, b). The y- coordinate is the value of b in the equation.

What is point Slope example?

Examples of Applying the Concept of Point-Slope Form of a Line. Example 1: Write the point-slope form of the line with a slope of 3 which passes through the point (2,5). The slope is given as m = 3 m = 3 m=3, and the point (2,5) has coordinates of x 1 = 2 {x_1} = 2 x1=2 and y 1 = 5 {y_1} = 5 y1=5.

Do parallel lines have the same slope?

In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other.

What is a line that passes through the origin called?

In general, therefore, the equation y = mx represents a straight line passing through the origin with gradient m. The equation of a straight line with gradient m passing through the origin is given by y = mx . Consider the straight line with equation y = 2x + 1.

How do you know if a line passes through a point?

To find out if a point is on a line, you can plug the points back into an equation. If the values equal one another, then the point must be on a line. In this case, the only equation where (6,5) would correctly fit as an value is .