Equation in point-slope form is 
Option C is correct.
Step-by-step explanation:
We need to Write an equation in point-slope form for the line through the given point with the given slope. (-7,9); m=4/5
The formula used for point-slope form is:
We are given slope m = 4/5
Point (-7,9) where x₁ = -7 and y₁ = 9
Putting values in the formula:
So, equation in point-slope form is
Option C is correct.
Keywords: Equation of line using Slope
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Q1
I like to use the standard form to write the equation of a perpendicular line, especially when the original equation is in that form. The perpendicular line will have the x- and y-coefficients swapped and one negated (remember this for Question 3). Thus, it will be
... 5x - 2y = 5(6) - 2(16) = -2
Solving for y (to get slope-intercept form), we find
... y = (5/2)x + 1 . . . . . matches selection C
Q2
The given equation has slope -3/6 = -1/2, so that will be the slope of the parallel line. (matches selection A)
Q3
See Q1 for an explanation. The appropriate choice is ...
... B. 4x - 3y = 5
Q4
The given line has slope -2, so you can eliminate all choices except ...
... D. -2x
Q5
The two lines have the same slope (3), but different intercepts, so they are ...
... A. parallel
The second option with the chart
9)
10) The y-intercept is always the constant term (without
). Therefore, the y-int is -9. The slope is always the term in front of the
, and so it is 3.
