Question

What is the point slope form of the line with slope -3/7 that passes through the point (5, 8)?

Answer 1

ANSWER:

Your answer is the 3rd one: y - 8 = -3/7(x - 5)

ABOUT POINT SLOPE FORM:

• y - Y1 = m (x - X1)
• m is the slope
• Y1 & X1 is a point on the line
• The form allows you to identify the slope & the point on the line

ABOUT PROBLEM:

• -3/7 represents m in the slope intercept form
• 5 represents X1
• 8 represents Y1

y - Y1 = m (x - X1)

y - 8 = -3/7(x - 5) --- IN POINT SLOPE FORM

Hope this helps you!!! :)

Answer 2

The line with a slope -3/7 and passes through the point (5, 8) has an equation of y - 8 = (-3/7)(x - 5)

The equation of a straight line is given by:

y = mx + b;

where y,x are variables, m is the slope of the line and b is the y intercept.

Since the line has a slope -3/7 and passes through the point (5, 8), the equation of the line is:

$y-y_1=m(x-x_1)\\\\y-8=-\frac{3}{7} (x-5)$

Hence a line with a slope -3/7 and passes through the point (5, 8) has an equation of y - 8 = (-3/7)(x - 5)

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