The slope and point of y-intercept is;
Slope = 4
Point of intercept = (0, 20)
We are given the equation;
y - 8 = 4(x + 3)
Now, the slope intercept form of the equation of a line is;
y = mx + c
where;
m is slope
c is y-intercept
x is value on the x-axis
y is value on the y-axis
Let us simplify our equation to the slope-intercept form;
y - 8 = 4(x + 3)
Expanding the bracket using distributive property gives;
y - 8 = 4x + 12
Using addition property of equality gives;
y - 8 + 8 = 4x + 12 + 8
y = 4x + 20
Comparing our result with y = mx + c,
m = 4 and c = 20
c is y-intercept which is value of y when x = 0.
Thus, intercept point is (0, 20)
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