Answer:
Given the equation, −6y + 7= 24x + 25, you'll have to transform this equation into its slope-intercept form, y = mx + b:
−6y + 7 = 24x + 25
Subtract 7 from both sides:
−6y + 7 − 7 = 24x + 25 − 7
−6y = 24x + 18
Divide both sides by −6:
[tex]\frac{-6y}{-6} = \frac{24x + 18}{-6}[/tex]
y = -4x - 3 ← This is the slope-intercept form, where m = slope and b = y-intercept.
Next, you need to find at least two points to plot on your graph. We can do this by using the y-intercept, (0, -3). Using the slope, -4 and the y-intercept (0, -3):
Start at (0, -3) then go 4 units down (because it is a negative slope) and 1 unit to the right. Your next point should be (1, -7). You can connect those two points and create a line.
The attached screenshot shows the graph of the linear equation, y = -4x - 3.
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