Find a linear equation whose graph is the straight line with the given property.
Through (5, 9) with slope 2
I can't find the correct answer. I don't know where I did wrong
Thanks.
To find a linear equation given a point and slope, you can use the point-slope form of a linear equation. The general form of this equation is:
y - y₁ = m(x - x₁)
Where (x₁, y₁) represents the coordinates of the given point, and m represents the slope.
In this case, the given point is (5, 9), and the slope is 2. Plugging these values into the point-slope form, we get:
y - 9 = 2(x - 5)
Next, we can simplify the equation by distributing the 2 on the right side:
y - 9 = 2x - 10
Finally, to isolate y, we can add 9 to both sides of the equation:
y = 2x - 10 + 9
Combining like terms, we have:
y = 2x - 1
Therefore, the linear equation that corresponds to the given situation is y = 2x - 1.
Please double-check your work using the steps above to identify any errors you may have made.
y = 2 x + b
9 = 10 + b
b = -1
y = 2 x - 1