Answer:
[tex]y = \frac{1}{2}x - 7[/tex]
Step-by-step explanation:
Slope-intercept form: y = mx + b
slope = m = 1/2
b = y-intercept = b
x = (x , y) = -4
y = (x , y) = -9
Plug in the corresponding numbers and variables into their corresponding variables:
y = mx + b
[tex]-9 = \frac{1}{2} * -4 + b[/tex]
First, simplify. Multiply 1/2 with -4:
[tex]-9 = \frac{1}{2} * -4 + b\\ \\-9 = \frac{1 * -4}{2} + b\\\\-9= -\frac{4}{2} + b\\ -9 = -2 + b[/tex]
Next, isolate the variable, b. Note the equal sign, what you do to one side, you do to the other. Add 2 to both sides of the equation:
[tex]-9 = -2 + b\\-9 (+2) = -2 (+2) + b\\b = -9 + 2\\b = -7[/tex]
Next, plug in -7 for b in the given slope-intercept form.
[tex]y = mx + b\\y = \frac{1}{2} x -7[/tex]
[tex]y = \frac{1}{2} x - 7[/tex] is your answer.
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Learn more about the slope-intercept form, here:
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