Find the slope of each line answer key

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How do you find a slope of each line?
How do you find the answer of a slope?

What is the slope of the equation 4x + 3y = 7?

Explanation:

We should put this equation in the form of y = mx + b, where m is the slope.

We start with 4x + 3y = 7.

Isolate the y term: 3y = 7 – 4x

Divide by 3: y = 7/3 – 4/3 * x

Rearrange terms: y = –4/3 * x + 7/3, so the slope is –4/3.

Find the slope of the line through the points (6,2) and (3,4).

Correct answer:

Explanation:

The equation for slope is . You plug in the coordinates from the points given you, and get , giving you . Note that it does not matter which point you use as point 1 and point 2, as long as you are consistent.

(6,2) = (x1,y1)

(3,4) = (x2,y2)

Given the line 4y = 2x + 1, what is the slope of this line?

Explanation:

4y = 2x + 1 becomes y = 0.5x + 0.25. We can read the coefficient of x, which is the slope of the line.

4y = 2x + 1

(4y)/4 = (2x)/4 + (1)/4

y = 0.5x + 0.25

y = mx + b, where the slope is equal to m.

The coefficient is 0.5, so the slope is 1/2.

What is the slope of the line containing the points (7,12) and (91,32).

Correct answer:

Explanation:

To find the slope of a line you must first assign variables to each point. It does not matter which points get which variables as long as you keep the and and and consistent when you plug them into the equation.

Then we plug in the variables to this equation where represents the slope.

Then we plug in our points for and the example looks like

Then we perform the necessary subtraction and division to find an answer of

Correct answer:

Which of the following is an example of an equation written in slope-intercept form?

Correct answer:

Explanation:

Slope intercept form is , where is the slope and is the y-intercept.

is the correct answer. The line has a slope of and a y-intercept equal to .

If (1,2) and (4,6) are on the same line, what is the slope of the line?

Correct answer:

Explanation:

The equation of a line is:

What is the slope of the line?

Correct answer:

Explanation:

Solve the equation for

where is the slope of the line:

A line passes through the points and . What is its slope?

Correct answer:

Explanation:

The slope is the rise over the run. The line drops in -coordinates by 13 while gaining 5 in the -coordinates.

What is the slope of the line ?

Correct answer:

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How do you find a slope of each line?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

How do you find the answer of a slope?

The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it. So, you can choose any 2 points along the graph of the line to figure out the slope.