Question

A line has a slope of. -3/4 and a y intercept of 3 What is the equation of the line ?

Answer 1

The equation of the line is y = -3/4 x + 3.

Explanation:

To find the equation of a line, we can use the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

We are given that the slope is -3/4 and the y-intercept is 3, so we can plug these values into the slope-intercept form:

y = (-3/4) x + 3

This is the equation of the line in slope-intercept form.

We can also write it in standard form by multiplying both sides by 4 and rearranging the terms:

4y = -3x + 12

3x + 4y = 12

This is the equation of the line in standard form.

Answer 2

Slope-intercept form of a line:

y = mx + b

where m is the slope and b is the y-intercept.

Replacing with m = -3/4 and b = 3, we get:

y = -3/4x + 3