Write an equation in slope intercept form, of a line that has a slope of -2 and passes through the point (4,-5)

Answer 1

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

In this case, the slope is -2, and the line passes through the point (4,-5). Therefore, we can substitute the values into the equation to find the y-intercept (b).

Using the point-slope form of a linear equation, we have:

y - y1 = m(x - x1)

Substituting the values:

y - (-5) = -2(x - 4)

Simplifying:

y + 5 = -2x + 8

Subtracting 5 from both sides:

y = -2x + 3

Therefore, the equation of the line in slope-intercept form is:

y = -2x + 3