Find an equation of the line passing through the point (4,3) with slope m=3

Question

asked Jan 4, 2021 163k views

2 Answers

Dotnetster · Answer 1 · 2021-01-08T12:39:08+0000

Answer:

y=3x-9

Explanation:

Enough information is given to write the line's equation in point slope form:

$y-y_1=m(x-x_1)\\'m' - slope\\(x_1,y_1) - coordinate$

The slope is three and the point is (4,3).

Replace the equation with the given information:

m = 3

x1 = 4

y1 = 3

y-3=3(x-4)

We can also make the equation into a slope intercept equation:

$y-3=3(x-4)\\\rightarrow y-3=3x-12\\\rightarrow y-3+3=3x-12+3\\\boxed {y=3x-9}$

So, the equation would be
y=3x-9 .

Brainilest Appreciated.