… how do i find
1) the slope of the line that passes through the two points
Use the formula for calculating slope from the coordinates of two points on a line.
Let (51, 2.55) be the coordinates for point 1.
Let (91, 3.40) be the coordinates for point 2.
Then, you have the following.
x[sub:zo4d0kbo]1[/sub:zo4d0kbo] = 51
y[sub:zo4d0kbo]1[/sub:zo4d0kbo] = 2.55
x[sub:zo4d0kbo]2[/sub:zo4d0kbo] = 91
y[sub:zo4d0kbo]2[/sub:zo4d0kbo] = 3.40
2) find the y intercept of the line that passes through the two points
Take the slope that you find from part (1), as well as the given coordinates for point 1, and put them into the Point-Slope formula to write an equation for the line.
Then, set x = 0 and solve for y.
(The x-coordinate for points on the y-axis is always zero. Therefore, any y-intercept point has zero for its x-coordinate.)
3) find the x intercept of the line that passes through the two points
Start with the same Point-Slope equation from above.
This time, set y = 0 and solve for x.
(The y-coordinate for points on the x-axis is always zero. Therefore, any x-intercept point has zero for its y-coordinate.)