Find an equation of the line point (1,7) slope 2/3
To find an equation of the line in point-slope form, we can use the formula:
y - y₁ = m(x - x₁)
where (x₁, y₁) represents the given point (1,7), and m represents the given slope 2/3.
Plugging in the values, we have:
y - 7 = (2/3)(x - 1)
Next, we can simplify the equation by multiplying the slope to the term inside the parentheses:
y - 7 = (2/3)x - 2/3
We can convert the right side of the equation to a common denominator of 3:
y - 7 = (2/3)x - (2/3) * (3/3)
y - 7 = (2/3)x - 6/3
y - 7 = (2/3)x - 2
Finally, we can move -7 to the right side of the equation to isolate y:
y = (2/3)x - 2 + 7
y = (2/3)x + 5
Therefore, the equation of the line with a point (1,7) and a slope of 2/3 is y = (2/3)x + 5.