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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Answer:
Step-by-step explanation:
Given :
Two points are given in graph (-6, -4) and {7, 5).
The point-slope form of the equation of a straight line is:
------------(1)
Let and
The slope of the line
Put all known value in above equation.
The slope of the line
We know m, and also know that , so we put these value in equation 1.
Therefore, the equation of the line is .