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Write the slope intercept through (-4,-3) parallel to y =-1/2 x+5​

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Final answer:

To find the slope-intercept form of a line parallel to y = -1/2x + 5 and passing through the point (-4, -3), we use the point-slope form of a line to obtain y = -1/2x + 1.

Step-by-step explanation:

To find the slope-intercept form of a line parallel to y = -1/2x + 5 and passing through the point (-4, -3), we first note that parallel lines have the same slope. So, the slope of the line we want to find is -1/2. Now, we can use the point-slope form of a line, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. Plugging in the values, we get y - (-3) = -1/2(x - (-4)). Simplifying this equation gives us the slope-intercept form of the line, which is y = -1/2x + 1.

User Dmitry Bubnenkov
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