Which equation describes the line that contains (1, 5) and has a slope of 2?
a. y = 2x - 9
b. y = 2x + 3
c. y = 2x + 9
d. y = 2x - 3
recall that the line with slope m through (h,k) is
y-k = m(x-h)
So, plug in your values and see which equation works out right.
10. Which equation describes the line that contains (1, 5) and has a slope of 2?
To determine the equation that describes a line given a point and a slope, we can use the point-slope form of a linear equation, which is:
y - y1 = m(x - x1)
Where (x1, y1) represents the given point and m represents the slope of the line.
In this case, the given point is (1, 5), and the slope is 2. Plugging these values into the point-slope form, we get:
y - 5 = 2(x - 1)
Now we need to simplify and convert the equation to slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
Expanding the equation:
y - 5 = 2x - 2
Next, we can rearrange the equation to isolate y:
y = 2x - 2 + 5
y = 2x + 3
Comparing this equation with the given options, we find that the equation that describes the line is:
b. y = 2x + 3