Question

write an equation of the line that passes through the given point and has the given slope slope is -3 (-5, 4)

Answer 1

The equation of the line passing through the point (-5, 4) with a slope of -3 is y = -3x - 11.

Step-by-step explanation:

The student is tasked with writing an equation of a line: A linear equation in the slope-intercept form is represented by y = mx + b, where m is the slope and b is the y-intercept. Given a point (-5, 4) and slope -3, we can use the point-slope form to create the equation, which is
`y - y_(1)= m(x - x_(1) )`. Substituting the given values gives us y - 4 = -3(x + 5).

By simplifying this equation, we obtain the slope-intercept form: y = -3x - 11. Thus, the equation of the line through the point (-5, 4) with a slope of -3 is represented by this equation

Answer 2

point slope form of a line

y-y1 = m(x-x1)

y-4 = -3(x--5)

y-4 =-3(x+5)

to change to slope intercept form

dstribute

y-4 = -3x-15

add 4 to each side

y = -3x-15+4

y = -3x-11