7.) find the equation of the curve that passes through the point (4, 5) if its slope is given by the following equation.

Rearranging and integrating, you have

... y = ∫(4x-7)dx = 2x² -7x +c

Applying the boundary condition, you have

... 5 = 2·4² -7·4 +c

... 5 - 4 = c = 1

Then the equation of the curve is

... y = 2x² -7x +1

Abit confused about what you mean, but i think you might be referring to slope intercept form: y = mx + bin that case b, or the y intercept is already given.(0,-1)find the slope by using the formulay2 - y1/x2 - x1the final slope will be 4/2, equivalent to 2.now your equation should look like thisy = 4/2x -1sorry if this didn’t you out!

Did u want to find the value of x?