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Which equation is in slope-intercept form and represents a line with slope 3 through the point (9, –4)?

User Mcmayer
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Answer:

Explanation:

To find the equation with a slope of 3 through the point (9, -4), we can substitute the values into the equation and solve for 'b'.

We have the slope, m = 3, and the point (9, -4), which means x = 9 and y = -4.

Using the point-slope form of the equation: y - y1 = m(x - x1), we substitute the values:

y - (-4) = 3(x - 9)

Simplifying:

y + 4 = 3(x - 9)

y + 4 = 3x - 27

Now, rearranging the equation to slope-intercept form:

y = 3x - 27 - 4

y = 3x - 31

Therefore, the equation in slope-intercept form that represents a line with slope 3 through the point (9, -4) is y = 3x - 31.

User Tunde
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