How do you find the value of y and c from the equations of straight line that cuts x-axis that given the point and slope?

To find the value of ( y ) and ( c ) from the equation of a straight line that intersects the x-axis at a given point with a specific slope, you can use the point-slope form of the line equation: ( y - y_1 = m(x - x_1) ), where ( (x_1, y_1) ) is the given point and ( m ) is the slope. To find ( c ) (the y-intercept), set ( y = 0 ) and solve for ( c ) using the line equation. The intersection with the x-axis occurs when ( y = 0 ), allowing you to find the corresponding ( x )-value, which, along with the slope, can help you find the equation in slope-intercept form ( y = mx + c ).