What best describes the relationship between the lines with equations y+ 3x= 10 and 2y= -6x + 4? | Socratic (2024)

FAQs

What best describes the relationship between the lines with equations y 3x 10 and 2y 6x 4? ›

The relationship between y+3x=10 and 2y=−6x+4 is that they are parallel lines.

Final answer:

The two lines described by the equations given are parallel to each other. This conclusion was reached by first converting each equation to slope-intercept form to find the slopes and then comparing these slopes.

They are co-linear.

Two lines are perpendicular or orthogonal if they meet at right angles. Coincident lines are lines that lie exactly on top of each other. These lines have all points in common. Whenever there is no meeting point between a line and a plane, then we can say that the line is parallel to the plane.

If two variables are positively related, the trend line has a positive slope; similarly, if two variables are negatively related, the trend line has a negative slope. If two variables are unrelated to each other, the trend line has a zero slope (that is, the trend line will be flat).

An equation is written as two expressions, connected by an equals sign ("="). The expressions on the two sides of the equals sign are called the "left-hand side" and "right-hand side" of the equation.

Explanation: If two lines have different slopes, they cannot be the same line. However, if they share a y-intercept, that means they cross the y -axis at the same y value. Since the x value is constant on the y-axis (0), they also share an x-value here.

Lines that are perpendicular intersect to form a 90∘ angle. The slope of one line is the negative reciprocal of the other.

A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.

A conditional equation is an equation that is true for some value or values of the variable, but not true for other values of the variable. Therefore, the equation is a conditional equation that expresses the relation existing between the several dependent quantities.

What are relationships of lines? ›

Line Relationships Determine whether the lines are parallel, perpendicular, or neither. Skew Lines Determine whether the lines are skew.

A relationship is any connection between two people, which can be either positive or negative. You can have a relationship with a wide range of people, including family and friends.

A deep, straight line reflects a long lasting and strong union. If the line is very long (ending beneath the ring or middle finger) it is said to represent your 'soulmate'. A line which dips downwards suggests a bullying or domineering partner. A line which turns upwards suggests a partner who is rich or successful.

Identify the output values. If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.

When lines have the same slope and different y-intercepts they are parallel lines. Parallel lines never intercept. Because these lines never intercept, they have no solution.