Write an equation of the line through the given point with the given slope. write the equation in slope-intercept form. (0, 3); m = - 3/7

The equation of line in slope intercept form is

Solution:

Given, We have to write an equation of the line through the given point with the given slope.  

The slope intercept form is given as:

y = mx + c  --- eqn 1

Where "m" is the slope of line and "c" is the y-intercept

Given slope "m" =

Let us find the value of "c"

Substitute the values of "m" and (x, y) = (0, 3) in eqn 1 to get the value of "c"

Now the equation of line in slope-intercept form is obtained by plugging in "m" and "c" value in eqn 1

Hence the required equation in slope-intercept form is obtained

a² + b²= c²

24² + 7² = c²

c= 25