Question

Write the slope intercept form of the equation of the line through the given point

Answer 1

Answer:

y =  $-\frac{3}{4}$x

Step-by-step explanation:

slope-intercept form: y = mx + b

Given: slope(m) = $-\frac{3}{4}$, point (4, -3)

We already have the value of m, but we need to find the value of b. To do this, input the given values of the slope and the point into the equation:

-3 =  $-\frac{3}{4}$(4) + b

Solve for b:

-3 =  $-\frac{3}{4}$(4) + b

-3 = -3 + b

0 = b

The value of b is zero. We can now write the equation:

y =  $-\frac{3}{4}$x + 0

y =  $-\frac{3}{4}$x

The equation written in slope-intercept form is: y =  $-\frac{3}{4}$x