Question

write the slope-intercept form of the equation of the line that passes through the point (-5,4) and has a slope of -1

Answer 1

Slope-intercept form of the line is y = mx + b
where m is the slope and b is the y-intercept

Using the Point-Slope form we first get the equation and then convert it to slope-intercept form

point (-5,4) and has a slope of -1
so m = -1, x coordinate of the given point = -5 and y-coordinate = 4

Point-Slope form : y - y1 = m(x - x1)
substituting given values we get

y - 4 = -1[x - (-5)]
y - 4 = -1[x + 5]
y - 4 = -x -5
y + x = -5 + 4
y - x = -1

putting it in the Slope-Intercept form, we get
y = x - 1