Answer:
Explanation:
Write an equation, in slope-intercept form, of a line that passes through (1, 4) and (3,10).
The equation written in slope-intercept form is
First, as you may know,
To find the slope from given points, you can use this formula
m(slope)=y2-y1/x2-x1
1- Now substitute
m(slope, which is ungiven)= 10-4/3-1
You will get 6/2 or 3
So the slope is 3
2- Now, to find b or the y-intercept, you can substitute the slope in one of the points.
I chose the first pair, (1,4)
Now substitute the x and y and the slope (which is 3) in the y=mx+b formula.
4=3(1)+b
4=3+b
-3 -3 (minus 3 from both sides to isolate x)
b=1
So the y-intercept or b is 1
3-substitute 3 as m and 1 as b in the slope-intercept equation, y=mx+b
y=3x+1 is the answer written in slope-intercept form