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What is the slope intercept form of the line with a slope of #-1/7 # that passes through # (-4,7) #?

Answer 1

Kennedy Adams

# y = -1/7 x + 45/7 #

The line has the slope-intercept form y = mx + c, where m is the gradient (slope) and c is the y-intercept.

Partial equation is therefore: # y = -1/7 x + c #

Use (-4,7) and change x = -4 and y = 7 in the equation to find c.

hence : # -1/7xx-4 + c = 7 → 4/7 + c = 7 #

#rArr c = 7 - 4/7 = 45/7 " equation is " y = -1/7 x + 45/7#

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Answer 2

Hazel Anglin

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. Given the slope m = -1/7 and the point (-4,7), we can use the point-slope form to find the equation of the line. y - y1 = m(x - x1) Substituting the values: y - 7 = (-1/7)(x - (-4)) y - 7 = (-1/7)(x + 4) y - 7 = (-1/7)x - 4/7 y = (-1/7)x + 7 - 4/7 y = (-1/7)x + 49/7 - 4/7 y = (-1/7)x + 45/7 Therefore, the slope-intercept form of the line with a slope of -1/7 passing through (-4,7) is y = (-1/7)x + 45/7.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.