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