Question

write slope form of lines satisfying the given coditions then use the point slope form of the eqation to write the slope intercept form of the equation slope = 4, passsing through (-3,9)

Answer 1

Here is how to find the equation of the line using point-slope form

Formula for the equation of a line in point-slope form: y - y₁ = m(x - x₁)

Now that we have the formula, we plug in what we are given.

y - 9 = 4(x + 3)

We can covert this into slope-intercept form by solving for y.

`y - 9 = 4(x + 3)\\\\y - 9 = 4x + 12\\\\y = 4x + 21`

Our equation for this line is: y = 4x + 21.

We can prove this by graphing the line, like so: