Question

Find a slope-intercept form equation for the line through (0,4) with slope m=-5. The equation is (Type your answer in slope-intercept form. )

Answer 1

The slope-intercept form equation for the line through (0,4) with slope m=-5 is y = -5x + 4.

Step-by-step explanation:

The equation of the line in slope-intercept form is y = mx + b, where m represents the slope and b represents the y-intercept.

Given that the slope m is -5 and the line passes through the point (0,4), we can substitute the values into the equation:

y = -5x + b

Since the line passes through the point (0,4), the y-coordinate can be substituted as 4:

4 = -5(0) + b

Simplifying, we get:

b = 4

Therefore, the slope-intercept form equation for the line through (0,4) with slope m = -5 is y = -5x + 4.