Respuesta :

Since slope intercept form is mx+b, where (m) is the slope and (b) is the y-intercept. The answer is -3/4x+7

Answer:

y = -3/4x + 7

Step-by-step explanation:

Hi there!

We are given the that a line has a slope of -3/4 and a y intercept of (0,7)

We want to write the equation of this line in slope-intercept form, which is y=mx+b, where m is the slope, and b is the value of y at the y intercept

As we are already given the slope and the y intercept, we can immediately plug these values into the formula to find the equation of the line

Starting with the slope, substitute -3/4 as m into the equation.

y = -3/4x + b

Now for b, as stated before, it is the value of y at the y intercept; the value of y in this case is 7, so b=7

Substitute 7 as b into the equation

y = -3/4x + 7

Hope this helps!

See more on this topic here: https://brainly.com/question/27330887