Final answer:
The equation in slope-intercept form of the line passing through (-4,-7) is y = -2x + 1.
Step-by-step explanation:
The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.
Given the point (-4, -7) and the equation y = -2x + 1, we can substitute the values to find the slope and y-intercept.
Substituting x = -4 and y = -7 into the equation, we get -7 = -2(-4) + 1. Simplifying this equation, we get -7 = 8 + 1. Therefore, the equation in slope-intercept form is y = -2x + 1.
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