Match each equation with its graph. y = 5x + 2, y = 3x + 3, y = 2x + 3

All the graphs for each problem

Green line: y = 5x + 2

Red line: y = 3x + 3

Purple line: y = 2x + 3

Step-by-step explanation:

1) All the given equations are in slope-intercept form, or format. When an equation is written in this form, the constant on the right side of the equation, or the , represents the y-intercept. The y-intercept is the point at which the line crosses the y-axis.  

Knowing this, the y-intercept of must be (0,2). The only graph in which the line crosses the y-axis at the point (0,2) is the one with the green line, thus the graph of is the green one.

2) Now, since the other two equations share the same y-intercept, we have two graphs left. We can find out which graph belongs to which equation by taking a look at the slope of the line. The number in place of , or the coefficient of the x-term in an equation in slope-intercept format represents the slope. Thus, the slope of is 3 and the slope of is 2.  

Now, find the slope of one of the lines in the graphs. To do so, use the slope formula,  . Substitute the x and y values of two points on the  chosen line into the formula in order to figure out the line's slope. I chose to find the slope of the red line, using the points (0,3) and (-1,0):

So, the slope of the red line is 3. Its equation must be since it has the matching slope. By process of elimination, the purple line must have the equation of .

answer: 94

step-by-step explanation: 79+91+92+94+94 = 450 divided by 5 (since there are 5 number that are being added) = 90

you estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82 .the total height of the building is another 123 meters above the 86th floor.

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