What is the slope of the line parallel to the line 5x 2y 10?

Using the slope-intercept form, the slope is 52 . All lines that are parallel to y=5×2−5 y = 5 x 2 – 5 have the same slope of 52 .

How are two equations parallel?

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. Unlike parallel lines, perpendicular lines do intersect. Their intersection forms a right, or 90-degree, angle.

What is the equation in point slope form of the line that is perpendicular to the given line?

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.

How do you find two parallel lines?

To see whether or not two lines are parallel, we must compare their slopes. 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.

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

So, to find an equation of a line that is parallel to another, you have to make sure both equations have the same slope. In the general equation of a line y = mx + b , the m represents your slope value. With b and c being any constants.

What is an example of a paralell equation?

An example of paralell lines would therefore be: (1) y = mx + b. (2) y = mx + c. With b and c being any constants. Note that they have to be different, because if they were equal, then you’d just have two identical lines that technically intersect in every single point. Sometimes though, linear equations aren’t in the form y = mx + b.

What makes a line parallel to another line?

Key Questions. Parallel lines are lines that never intersect. Because of this, a pair of parallel lines have to have the same slope, but different intercepts (if they had the same intercepts, they would be identical lines). So, to find an equation of a line that is parallel to another, you have to make sure both equations have the same slope.

How do you find the slope of a parallel line?

Choose a point that the parallel line will pass through. Use the slope-intercept form to find the slope. Tap for more steps… The slope-intercept form is y = m x + b y = m x + b, where m m is the slope and b b is the y-intercept.