What is the slope of a line parallel to 3x 4y 12?

A line parallel to 3x+4y=12 must have a slope of −34 .

How do you write an equation in slope-intercept form that is perpendicular?

First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. 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.

What is the slope of a line parallel to the line whose equation is3x − 4y 8?

Using the slope-intercept form, the slope is 34 . All lines that are parallel to y=3×4−2 y = 3 x 4 – 2 have the same slope of 34 .

What is the slope of the line whose equation is 2x − 4y 10?

1/2
The slope of the line whose equation is 2x – 4y = 10 is 1/2.

How do you write an equation in slope intercept form?

Write an equation that represents the following graph. Step 1: Locate the y-intercept. Step 2: Locate another point that lies on the line. Step 3: Calculate the slope from the y-intercept to the second point. Step 4: Write an equation in slope intercept form given the slope and y-intercept.

What is the graph of the linear equation y = mx + c?

The graph of the linear equation y = mx + c is a line with m as slope, m and c as y-intercept. This form of the linear equation is called slope-intercept form. The values of m and c are real numbers. The slope, m, represents the steepness of a line. The slope of the line is also termed as gradient, sometimes.

How do you find the slope of a parallel line?

For parallel lines, the slopes are equal. Thus given the equation of a line and a point through which the line parallel to the given line passes, then the slope of the second line is equal to the slope of the given line. Having found the slope, we can then use the formula stated above together with the given point to find the required equation.

Which equations are the easiest to graph?

Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information. All you need to know is the slope (rate) and the y-intercept. Continue reading for a couple of examples! Write the equation for a line that has a slope of -2 and y-intercept of 5.