Answer:
Slope: 4/3
Equation: y=4/3x-34
b=-34
Explanation:
To find the slope, we can use the formula m=(y_2-y_1)/(x_2-x_1)
Plugging in the values we get: m=(-10-(-14))/(18-15)
Simplifying we get: m=4/3
So the slope is 4/3
Now, to find the equation of the line in slope-intercept form (y=mx+b), you need to choose one of the points. Let's use (15, -14):
−14=
3
4
(15)+b
Multiply both sides by 3 to clear the fraction:
−42=4(15)+3b
−42=60+3b
Subtract 60 from both sides:
−102=3b
Divide by 3:
b=−34
So, the equation of the line is:
y=4/3x-34