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3 years ago

How do I get y = 1/2x -2 into standard form? Please explain with steps

1 answer:

mote1985 [20]3 years ago

8 0

So that equation is in slope form and the equation for standard form is Ax + By = C. Some rules for standard form is x can't be negative, no fractions, and y and c can't be negative so,

y = 1/2x -2
+2 +2
y + 2 = 1/2x
-y -y
1/2x - y = 2
This isn't the final answer because standard form can't have fractions, so you divide the equation by 1/2 and get x -2 = 4 Hope this helps!!!

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Step-by-step explanation:

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3 years ago

Write the equation of line AB in slope-intercept form, given the points A(0,5) and B(-5,-10) . In your final answer, include all

Evgesh-ka [11]

Answer:

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Step-by-step explanation:

1) First, find the slope between the pair of points. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ . Substitute the x and y values of points A and B into the formula and simplify:

$m = \frac{(-10)-(5)}{(-5)-(0)} \\m = \frac{-10-5}{-5-0} \\m = \frac{-15}{-5} \\m = 3$

So, the slope is 3.

2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that (0,5) is a point the line intersects, and since it has an x-value of 0, that must be the y-intercept.

3) Using slope-intercept format, represented by the equation $y = mx + b$ , write the equation of the line. Remember that the number in place of $m$ , or the coefficient of the x-term, is the slope. So, substitute 3 for $m$ . Also, remember that $b$ represents the y-intercept of a line, so substitute 5 in its place, too. This gives the following answer:

$y = 3x + 5$

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