Find an equation of the line with the given slope of 7 that passes through the point (3, 4)

To find the equation of a line given a slope and a point, we can use the point-slope form of a linear equation, which is:

y – y₁ = m(x – x₁)

Where:

• m is the slope of the line.
• (x₁, y₁) is the point through which the line passes.

In this case, we are given a slope m = 7 and a point (3, 4). Plugging these values into the point-slope formula:

y – 4 = 7(x – 3)

Next, simplify this equation:

y – 4 = 7x – 21

Now, add 4 to both sides:

y = 7x – 21 + 4

y = 7x – 17

So, the equation of the line with a slope of 7 that passes through the point (3, 4) is:

y = 7x – 17