I am not sure about point slope, but I can find an equation in slope-intercept form and convert it, so
y=mx+b, m=slope
slope=(y1-y2)/(x1-x2)
we have points
(4,5)
(-3,-1)
(x,y)
x1=4
y1=5
x2=-3
y2=-1
subsitute
(5-(-1))/(4-(-3))=(5+1)/(4+3)=6/7
y=6/7+b
sybsitute and solve for b
(4,5)
x=4
y=5
5=6/7(4)+b
5=24/7+b
5=35/7
subtract 24/7 from both sides
11/7=b
y=6/7x+11/7
convert to the point slope form and find equivilent fraction
since the question asks for 2 answers that are correct and only 2 of the equations have slope of 6/7 I can guess that the answers are B and C
for this question you would need to utilize ratios to find the side lengths. For example, set up a ratio between the big triangle with the small triangle to find a side length
The point-slope form:
The formula of a slope:
We have the points (-4, -1) and (5, 7). Substitute:
Answer:
3.5
Step-by-step explanation:
This can be calculatdd by applyinthe g Pythagorean theorem
a^2 + b^2= c^2
12^2 + x^2= 12.5^2
144+ x^2= 156.25
x^2= 156.25-144
x^2= 12.25
x= √12.25
x= 3.5
Hence the distance between the ladder and the house is 3.5 ft