Question #43077

1 Answer
Apr 27, 2017

See the entire solution process below:

Explanation:

The slope-intercept form of an equation is: y = color(red)(m)x + color(blue)(b)

Where: color(red)(m) is the slope of the line and color(blue)(b) is the y-intercept of the line.

We can substitute the values of the point from the problem for x and y and the slope for the problem for m and solve for b:

y = color(red)(m)x + color(blue)(b) becomes:

-3 = (color(red)(-1) * 4) + color(blue)(b)

-3 = -4 + color(blue)(b)

color(red)(4) - 3 = color(red)(4) - 4 + color(blue)(b)

1 = 0 + color(blue)(b)

1 = color(blue)(b)

We can now substitute the slope from the problem and the y-intercept we calculated into the slope-intercept formula to write the equation:

y = color(red)(-1)x + color(blue)(1)