What is the Y-Intercept of the line that has a slope of -4 and passes through the point (4,-6)

Mathematics

2 answers:

svlad2 [7]2 years ago

8 0

The y intercept is the y intercept which is 2

IrinaVladis [17]2 years ago

6 0

Answer:

Y-intercept = 22

Step-by-step explanation:

The equation of a line in slope-intercept format is given by the equation y=mx+c

where m is the slope and c the y-intercept.

(The y-intercept is the value of y when x = 0)

Slope given as -4

And we know it passes through the point(4,6) ie at x=4, y =6

Substitute in above equation to get value of c, the y-intercept

6 = -4(4) + c

6 = -16 + c

c = 22

And this is the y-intercept

The equation of the line is y = -4x + 22

See attached figure for graph

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