Answer:
y = 2x + 4
slope: 2
y-intercept: (0,4)
Step-by-step explanation:
to find the slope and y-intercept of the two points, we can use the following formula:
y2 - y1/ x2 - x1 = slope
to solve, we plug in the values into the equation
we will treat (0,4) as x1, y1 and (7,18) as x2, y2
y2 - y1 = 18 - 4 = 14
x2 - x1 = 7 - 0 = 7
14/7 is the slope, but we can simplify as 14/7 is equal to 2
so the slope is 2 (can also be said as 2/1)
we can now put the following slope into slope-intercept form (y=mx+b)
y = 2x + b < b is the slope, we so we need to solve for b
looking at our points (0,4) and (7,18), we see that we have the y-intercept, as the y-intercept has the x-coordinate 0, and any y-coordinate. the y-intercept is (0,4)
but if we dont have the y-intercept that easily, we can plug in any coordinate that we are given into the equation and solve for b. for this example, ill use (0,4) to plug into the equation
4 = 2(0) + b
4 = b
the y-intercept is 4
the final equation would be the following:
y = 2x + 4
