Slope = 4, passing through (-5,5)

Question

Write the point-slope form of the line satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept of the equation.

 Type the point-slope form of the equation of the line.

 

(simplify your answer. Use integers or fractions for any numbers in the equation.)

Answer 1

Point-slope form is in the format y - y₁ = m(x - x₁)

so, the slope is your "m"

 

m = 4

 

The point that you are given is (-5, 5).

Your y₁ = 5 and your x₁ = -5.

 

If you plug all of this into point slope form, you get 

y - 5 = 4(x - (-5))

so, y-5=4(x+5) for your point slope form.

 

Slope intercept form is in the format y = mx + b

To get to slope intercept form from point slope form, distribute your 4 and then solve for y.

 

so, it would look like this:

 

y-5=4x+20.

add 5 to both sides to get the final answer y=4x + 25

where your m = 4 and your b = 25.

I hope this helps!