Question

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

Answer 1

Answer:

Y=-3/7m+3

Step-by-step explanation:

M=slope or x

The y inter. Is when the x axis is zero, so in this case it's 3

Answer 2

The equation of line in slope intercept form is $y=\frac{-3}{7} x+3$

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" = $\frac{-3}{7}$

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"

$\begin{array}{l}{3=\frac{-3}{7}(0)+c} \\\\ {c=3}\end{array}$

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

$y=\frac{-3}{7} x+3$

Hence the required equation in slope-intercept form is obtained