Answer:
The equation in slope-intercept form that describes a line through (4, 2) with slope 12 will be y = 12x -46
Step-by-step explanation:
We need to find the slope-intercept form of a line that passes through (4,2) and have slope of 12.
The general form of slope-intercept form is: y= mx + b
where m is the slope and b is the y-intercept.
We are given slope m = 12
We need to find y-intercept.
Using the formula y = mx + b
and putting values y=2, x = 4 and m = 12, and finding b
y = mx + b
2 = 12(4) + b
2 = 48+b
=> b = 2-48
b = -46
So, value of b is b= -46
The equation in slope-intercept form will be:
m = 12 and b = - 46
y = mx + b
y = 12x -46
The equation in slope-intercept form that describes a line through (4, 2) with slope 12 will be y = 12x -46
Answer:
The equation in slope-intercept form is Y = 12X – 46.
Step-by-step explanation:
Step 1:
Using the formula .
Y – Y1 = m (X – X1)
Step 2:
Given Data:
(X1, Y1) = (4, 2)
m = 12.
Step 3:
Substitute the X1 as 4, Y1 as 2 and m as 12 in the given equation.
[Y – Y1 = m (X – X1).]
Y – 2 = 12 (X – 4)
Step 4:
Multiply 12 with (X -4).
Y – 2 = 12X – 48
Keep ‘Y’ in LHS and move -2 to RHS
Y = 12X – 48 + 2
Y = 12X – 46.
Hence Proved.
