Question

Write an equation in point slope form for the line that has a slope of 9/4 and contains the point (3, -4)

Answer 1

Answer:

$y+4=\frac{9}{4} (x-3)$

Step-by-step explanation:

Given:

Slope which is $m$, that is $\frac{9}{4}$

Line containing $point$, that is $(3,-4)$

We need to write an equation in point slope form for the line.

Solution:

As we know that $(x_1,y_1)= (3, -4)$

As we know the equation of line in point slope form is $y-y_1=m(x-x_1)$

Let us know plug the value:

$y-y_1=m(x-x_1)$

$y-(-4)=\frac{9}{4} (x-3)$

⇒ $y+4=\frac{9}{4} (x-3)$

Hence, the equation in point slope form for the line that has a slope of $\frac{9}{4}$ is  $y+4=\frac{9}{4} (x-3)$.