Answer:
If you meant to write y - 4: Slope-intercept form = y = 2x - 2
If you mean to write y + 4: Slope-intercept form = y = 2x - 10
Explanation:
Were you trying to write y - 4 or y + 4 on the left-hand side of the equation.
I'll show you how to find the slope-intercept of both and simply use the answer that you need.
Slope-intercept form of y - 4 = 2(x - 3):
y - 4 = 2(x - 3) is in the point-slope form of a line, whose general equation is given by:
y - y1 = m(x - x1), where
- (x1, y1) is any point on the line,
- and m is the slope.
The general equation of the slope-intercept form is given by:
y = mx + b, where
- m is the slope,
- and b is the y-intercept.
Thus, we can convert from point-slope to slope-intercept form using the following steps to isolate y on the left-hand side:
Step 1: Distribute the 2 on the right-hand side:
y - 4 = (2 * x) + (2 * -3)
y - 4 = 2x - 6
Step 2: Add 4 to both sides to find the slope-intercept form:
(y - 4 = 2x - 6) + 4
y = 2x - 2
Thus, y = 2x - 2 is the slope-intercept form of y - 4 = 2(x - 3)
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Slope-intercept form of y + 4 = 2(x - 3):
Since y + 4 = 2(x - 3) is in the point-slope form, we convert it to slope-intercept form by distributing the 2 and isolating y on the left-hand side:
Step 1: Distribute the 2 on the right-hand side:
y + 4 = (2 * x) + (2 * -3)
y + 4 = 2x - 6
Step 2: Subtract 4 to both sides to find the slope-intercept form:
(y + 4 = 2x - 6) - 4
y = 2x - 10
Thus, y = 2x - 10 is the slope-intercept form of y - 4 = 2(x - 3)