If the graph of a line in an x y plane and its corresponding equation is given then , all the coordinates of every point on that line will satisfy the equation is a true statement.
<h3>What is the equation for a straight line ?</h3>
An equation of a straight line is given by
y = mx+c
where m is the slope and c is the intercept on y axis.
If the graph of a line in an x y plane and its corresponding equation is given then , all the coordinates of every point on that line will satisfy the equation .
Even for a scatter plot the line of the best fit is drawn and every point on the line will satisfy the equation.
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Y = ax + b;
0.89 = a * 2 + b and 2.09 = a * 5 + b =>
=> 2.09 - 0.89 = a * 5 + a * 2 + b - b => 1.20 = 3 * a => a = 1.20 / 3 => a = 0.40;
b = 0.89 - 0.40 * 2 => b = 0.89 - 0.80 => b = 0.09;
y = 0.40x + 0.09 => 0.40x - y + 0.09 = 0 is the linear equation.
You would distribute then combine like terms to get your answer.
Answer: 3r + 2b = 24
r + 3b = 16
Step-by-step explanation:
Let the red blocks be represented by r
Let blue blocks be represented by b
Since 3 red blocks and 2 blue blocks weigh 24 ounces. This will be:
3r + 2b = 24
1 red block and 3 blue blocks weigh 16 ounces. This will be:
r + 3b = 16
Therefore, the equation will be:
3r + 2b = 24
r + 3b = 16