Linear Function and Slope

Linear Function and Slope

Unit 4 Section 2.4 Linear function and slope Question 4 

Find the slope of the line passing through the points given below or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. (7,2) and (8,5)

So the first part of this question is to find the slope. Using the equation (y2-y1)/(x2-x1)= slope. The points given are (7,2) and (8,5). Plug these points into the equation to get the slope. 

(5-2)/(8-7)=slope 

3/1=slope 

The slope is 3. 

The second part of the question is figuring out what the slope of the line indicates. 

On a graph since the slope is positive the line would rise from left to right. this is known because if plotted the slope would make the line go up 3 and over 1. 

another exampls is here 

Hey class,

The homework problem i was able to work through was question 7 on the Point slope form of the equation. 

Find the slope of a line that is a. parallel and b. perpendicular to the line with the given equation.

9x+y=-6

To find the slope of a line, we need to rewrite the equation in slope-intercept form, which is in the form of y=mx+b, where m represents the slope. Given equation:9x+y=-6 to rewrite the equation in slope-intercept form, we need to isolate y on one side of the equation. y=9x-6 From the equation, we can see that the slope of the line is -9. Therefore the correct answer for part a is m=-9. To find the slope of a line perpendicular to the given line, we need to use the property that the product of the slopes of two perpendicular lines is always -1. The slope of the given line is -9. To solve for m, we divide both sides by -9: M=fraction numerator negative 1 over denominator negative 9 end fraction equals 1 over 9 Therefore, the correct answer for part b is A: m=1 over 9Hey class,

The homework problem i was able to work through was question 7 on the Point slope form of the equation. 

Find the slope of a line that is a. parallel and b. perpendicular to the line with the given equation.

9x+y=-6

To find the slope of a line, we need to rewrite the equation in slope-intercept form, which is in the form of y=mx+b, where m represents the slope. Given equation:9x+y=-6 to rewrite the equation in slope-intercept form, we need to isolate y on one side of the equation. y=9x-6 From the equation, we can see that the slope of the line is -9. Therefore the correct answer for part a is m=-9. To find the slope of a line perpendicular to the given line, we need to use the property that the product of the slopes of two perpendicular lines is always -1. The slope of the given line is -9. To solve for m, we divide both sides by -9: M=fraction numerator negative 1 over denominator negative 9 end fraction equals 1 over 9 Therefore, the correct answer for part b is A: m=1 over 9

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