SOLUTION: How do you write an equation in slope- intercept form that satisfies each given condition, if the condition is slope = -5, passes through (-3,-8)

Question 762581: How do you write an equation in slope- intercept form that satisfies each given condition, if the condition is slope = -5, passes through (-3,-8)
Answer by ramkikk66(644) (Show Source): You can put this solution on YOUR website!
The equation (in slope-intercept form) of a line with slope m and passing through (x1,y1) is
(y - y1) = m(x - x1)
Here, m = -5, x1 = -3, y1 = -8
Substituting the above, the equation for the line is:

Simplifying
or

See the equation for the line below.

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc

Equation describes a sloping line. For any
equation ax+by+c = 0, slope is .

X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. -23/5 = -4.6.
Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -23/1 = -23.
Slope is -5/1 = -5.
Equation in slope-intercept form: y=-5*x+-23.

:)
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