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pedro48
31.10.2020 •
Mathematics
Which is the equation of the graphed line written in
standard form?
A. Y=c
B. X-1/2y=0
C. X-y=0
D. Y= 1/2x
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Ответ:
C. x - y = 0
Step-by-step explanation:
Step 1: find the slope (m) and y-intercept (b) of the graphed line.
Using the two points on the line (0, 0) and (2, 2),
Slope =![\frac{rise}{run} = \frac{2 - 0}{2 - 0} = \frac{2}{2} = 1](/tpl/images/0857/3736/14170.png)
The y-intercept (b) is the point at which the line intercepts the y-axis. Therefore, the y-intercept (b) = 0
Step 2: Generate an equation for the line in slope-intercept form using b = 0 and m = 1.
Substitute m = 1 and b = 0 into y = mx + b
y = 1(x) + 0
y = x
Step 3: rewrite the equation from slope-intercept form to standard form.
To express I'm standard form, take all terms with coefficient to the left, and leave the constant on the right side of the equation.
y = x
Subtract y from both sides
y - y = x - y
0 = x - y
x - y = 0
Ответ: