Answer:
Explanation:
You can find the equation of a line with a given slope that passes through a specific point using the point-slope form of a linear equation:
y - y₁ = m(x - x₁)
Where:
(x₁, y₁) is the given point on the line.
m is the slope of the line.
In your case, you have a slope of 3 and a point (-5, 7). Plug these values into the formula:
y - 7 = 3(x - (-5))
Now, simplify the equation:
y - 7 = 3(x + 5)
Distribute 3 on the right side:
y - 7 = 3x + 15
Now, isolate y by adding 7 to both sides:
y = 3x + 15 + 7
y = 3x + 22
So, the equation of the line with a slope of 3 that passes through the point (-5, 7) is:
y = 3x + 22