Answer:
Slope: 5
Y-intercept: -13
Step-by-step explanation:
To find the slope with 2 given points, we use the formula [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex].
We plug our points into this formula to get:
[tex]\frac{12-7}{5-4} =\frac{5}{1} =5[/tex]. The slope of the equation is 5.
To find our y-intercept, we can use the slope-intercept form and any point we are given.
Slope-intercept form: y=mx+b
m (slope)=5
x=4 (can also use 5)
y=7 (can also use 12)
You can also choose to use the point (5, 12). It doesn't really matter because you'll end up with the same y-intercept.
7=5(4)+b
7=20+b
-13=b
The y-intercept of the equation is -13.
