Question

the intercept form then list the x- and y-intercepts. trough (-1, 18) and (-4, (b) 4x - 5y = 20 (d) bx + ay = ab (f) through (1, 3) and (-2,4) (h) inclination 135º, through (-2,-1)

Answer 1

The equation bx + ay = ab expressed in intercept form is shown as;

`\begin{gathered} (x)/(a)+(y)/(b)=1 \\ \text{When x=0,} \\ b(0)+ay=ab \\ ay=ab \\ y=(ab)/(a) \\ y=b \\ \text{When y=0} \\ bx+a(0)=ab \\ bx=ab \\ x=(ab)/(b) \\ x=a \\ \text{Therefore, the x-intercept is a, and the y intercept is b} \\ \text{The equation in intercept form is now;} \\ (x)/(a)+(y)/(b)=1 \end{gathered}`

Note that the x and y intercepts have been indicated in the course of solving the question.