Write the equation of the line with slope m = 2 and passing through (8,20).
Write your equation in the form
y=mx+b
y=
you know the m of
y = mx + b
So you already have
y = 2x + b
sub in x=8, and y=20 to find b
Plug it back into y = 2x + b, and you are done
point-slope form is ... y - 20 = 2(x - 8)
solve for y
To write the equation of a line with a given slope and passing through a given point, we can use the point-slope form of a linear equation, which 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 (8,20), and the slope is m = 2. Plugging these values into the point-slope form, we get:
y - 20 = 2(x - 8)
Now, we can simplify this equation:
y - 20 = 2x - 16
To write the equation in the form y = mx + b, where b represents the y-intercept, we can rearrange the equation:
y = 2x - 16 + 20
y = 2x + 4
So, the equation of the line with slope m = 2 and passing through (8,20) is y = 2x + 4.